Tutors Answer Your Questions about Angles (FREE)
Question 241206: find the measure of the complement of a 11 degree angle
Answer by rfer(2688)   (Show Source):
Question 241230: two angles are supplementary. The measure of the larger angle is 36 degrees more the 7 times the measure of the smaller angle. Find the measures of both angles.
Answer by unlockmath(117)  (Show Source):
You can put this solution on YOUR website!Hello,
The wording of the problem seems but let's see what I can to help you. Let x represent the smaller angle and 7x+36 be the larger angle. We know supplementary s 180 degrees.
so here's the equation we can set up.
7x+36+x=180 Combine like terms:
8x+36=180 Subtract 36 from both sides gives us:
8x=144 Now divide both sides by 8 gives us:
x=18 So now we know the smaller angle is 18 degrees.
The larger angle is 162 degrees.
RJ Toftness
www.math-unlock.com
Question 241215: The second angle of a triangle is 30(degrees)less than the first angle.The third angle is twice the second angle. How large are the angles? This problem i really struggled on because i dont know how to write it out and solve it.
Answer by Alan3354(6079)  (Show Source):
You can put this solution on YOUR website!The second angle of a triangle is 30(degrees)less than the first angle.The third angle is twice the second angle. How large are the angles? This problem i really struggled on because i dont know how to write it out and solve it.
-------------
The 1st angle is d degrees
The 2nd angle is d - 30
The 3rd angle is 2*(d-30)
---------------
The sum is (always) 180º
d + d-30 + 2(d-30) = 180
4d - 90 = 180
4d = 270
d = 67.5º
2nd angle = 37.5º
3rd angle = 75º
Question 241142: The ratio of the measure of two complimentary angles is 1:5. What are the measures of the angles?
Answer by rfer(2688) (Show Source):
Question 240700: If the measure of one angle of a linear pair is five times that of the other, then the measure of the larger angle is
Answer by nyc_function(260)  (Show Source):
You can put this solution on YOUR website!A linear pair is a pair of adjacent angles formed when two lines intersect.
Linear pair angles add up to 180 degrees because they lie on a straight line.
Let x = smaller angle
Let 5x = bigger angle
x + 5x = 180
6x = 180
x = 180/6
x = 30
The bigger angle is 5 times 30 or 150 degrees.
Question 240533: An isocelles triangle has 2 50 degree angles.what is the measure of the third angle?explain
Answer by rfer(2688) (Show Source):
Question 240149: find the measure of the angle,its complement,and its supplement when.....
twice the angle is 72degress less than the supplement of the angle.
i have writen the formula i thought is the outcome of this,but i believe its incorrect
2x=72-180-x
is this correct?
but i do understand that in order to fine to complement and the supplement you must use 90-x and 180-x.
Answer by ankor@dixie-net.com(6693)  (Show Source):
You can put this solution on YOUR website!find the measure of the angle,its complement,and its supplement when.....
twice the angle is 72degress less than the supplement of the angle.
i have writen the formula i thought is the outcome of this,but i believe its incorrect
2x=72-180-x
is this correct?
but i do understand that in order to fine to complement and the supplement you must use 90-x and 180-x.
:
Almost, it says " 72 less than the supplement" so it should be
2x = (180-x) - 72
2x = 180 - x - 72
2x + x = 180 - 72
3x = 108
x = 36
Question 240188: Two angles are supplementary.One angle is 9 times bigger than the other,what is the measure of both angles?
Answer by stanbon(26273) (Show Source):
You can put this solution on YOUR website!Two angles are supplementary.One angle is 9 times bigger than the other,what is the measure of both angles?
----------------------
Equations:
x + y = 180 degrees
x = 9y
-----------------
Substitute and solve for "y":
9y+y = 180
10y = 180
y = 18 degrees (one of the angles)
9y = 162 degrees (the other angle)
=========================================
Cheers,
Stan H.
Question 239741: Together, Saturn, Jupiter, and Uranus have a total of 113 known satellites (moons). Jupiter has 30 more satellites than Saturn, and Uranus has 10 fewer satellites than Saturn. How many known satellites does Saturn have?
Thanks.
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!Write an equation for each statement
:
Together, Saturn, Jupiter, and Uranus have a total of 113 known satellites (moons).
S + J + U = 113
:
"Jupiter has 30 more satellites than Saturn,"
J = S + 30
" Uranus has 10 fewer satellites than Saturn."
U = S - 10
:
How many known satellites does Saturn have?
:
Using the 1st equation: S + J + U = 113, we can replace J with (S+30) and U with (S-10)
S + (S+30) + (S-10) = 113
Combine like terms
S + S + S + 30 - 10 = 113
3S + 20 = 113
3S = 113 - 20
3S = 93
S = 
S = 31 moons on Saturn
;
:
You should check the solution by substituting for J and U and adding them up
Question 239392: Hi! i am having alot of troubles doing angles in my math class. This is a problem I'm having a hard time with
http://www2.edmastery.com/li/itemAssets/nnds_li%20-%20production%5Cjalberth%5C430.JPG
Answer by College Student(210)  (Show Source):
You can put this solution on YOUR website!Congruent means that they measure the same.
The picture depicted on the web page you provided is a rectangle.
.
Re: Sides
In this case, only two sides are congruent with each other; and the other two are also congruent with each other, but not with the first two.
In other words, the top and bottom are the same, but a bit longer than their sides. So thus far, we can say side SV and TU are congruent with each other. Also, sides ST and VU are congruent with each other.
.
Re: Angles
In this case all angles are the same (90 degrees). So all anngles are congruent with each other.
.
The correct answer to this problem is B.
Question 239963: This problem has a picture with it so I will explain it the best that I can. CD is the midsegment that measure is 6. The other meausure given is AB which is 4x-18. The problem says to find x. Please help.
Answer by solver91311(5072)  (Show Source):
You can put this solution on YOUR website!
Not anywhere near enough information. You have to describe your diagram in detail
using the correct terminology. Otherwise we are just guessing at what you have.
John
Question 239965: What is the sum of the measures of the interior angles of a convex decagon? Please help?
Answer by solver91311(5072) (Show Source):
Question 239589: I really am dumb at math and dont get any of it and my teacher has pretty much given up on me and I have a quiz tomorrow and i dont understand my notes. Help please? By the way, its on like the shapey stuff, like with formulas and confusing scary stuff like that. :( I'm in per algebra and I get zilcho of it
~Blondie
Answer by College Student(210) (Show Source):
You can put this solution on YOUR website!How many problems do you have to study for tomorrow? What grade are you in?
There is a feature to thank tutors for responding, please use it to email me your problems. I'll see what I can do for you and will try to explain it in detail.
Question 239102: What is the measure of an angle whose measure is nine times its supplement?
Answer by checkley77(7049) (Show Source):
Question 239101: The ratio measure of two angles that are complementary is 4:5. What is the measure of the two angles?
Answer by checkley77(7049) (Show Source):
Question 239019: The measure of a supplement of an angle is four more than three times the angle. How much is the angle and the supplement. I tried setting it up like
4+3x=180 then I am lost. Please help.
Answer by Theo(675)  (Show Source):
You can put this solution on YOUR website!supplement of an angle = 180 minus the angle.
your formula is:
(180 - x) = 3*x + 4 assuming x is the angle.
solve for x to get:
(180 - x) = 3*x + 4 becomes:
180 - x = 3*x + 4
add x to both sides of the equation and subtract 4 from both sides of the eqution to getr:
180-4 = 3x+x
combine like terms to get:
176 = 4x
divide both sides of the equation by 4 to get:
44 = x
this makes the supplement of the angle = 180-x = 180-44 = 136
supplement of the angle is equal to 3 times the angle + 4.
3*44 = 132 + 4 = 136 which is the supplement of the angle so the formula is good and the answer is:
angle = 44 degrees.
supplement of the angle is 136 degrees
problems states that supplement of the angle = 3 * the angle
Question 239100: What measure of angle is swept by the minute hand during the duration of a class if the class starts at 2:16 p.m. and ends at 2:47 p.m.?
Answer by Alan3354(6079) (Show Source):
You can put this solution on YOUR website!What measure of angle is swept by the minute hand during the duration of a class if the class starts at 2:16 p.m. and ends at 2:47 p.m.?
------------------
That's 31 minutes.
Each minute is 6º (360º/60 min)
31*6 = 186º
Question 239000: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 69 degrees. find the measures of the angles
Answer by Theo(675) (Show Source):
You can put this solution on YOUR website!x + y = 90 (complementary angles)
x + y/2 = 69
solve for x in the first equation to get x = 90-y
replace x in the second equation to get:
90-y + y/2 = 69
multiply both sides of the equation by 2 to get:
(90-y)*2 + y = 69*2
remove parentheses to get:
180-2y+y = 138
combine like results to get:
180 - y = 138
add y to both sides and subtract 138 from both sides of the equation to get:
180-138 = y which becomes y = 42
your angle should be 42.
complement of your angle should be 90-42 = 48
x = 48
y = 42
48 + 42 = 90
48 + 42/2 = 48 + 21 = 69
looks ok.
answer is x = 45 and y = 42.
Question 238890: The angles are supplementary:
Angle A; x-9
Angle B; 2x-3
What is x?
What are the angles?
Answer by jim_thompson5910(13794) (Show Source):
You can put this solution on YOUR website!Hint: Since the angles are supplementary, this means that the angles add to 180 degrees. Algebraically, this means that  . So solve this equation for 'x' to find 'x' and the two angles.
Question 238590: A right triangle has one leg of length 3cm, the other leg of length 4cm, and the hypotenuse of length 5 cm. What is the area of the triangle?
Answer by rapaljer(3620) (Show Source):
You can put this solution on YOUR website!Area of a triangle = 
Since this is a right triangle, the two legs can be considered the base and height of the triangle.
Dr. Robert J. Rapalje
Question 238586: What are the measures of two complementary angles where one is twice the meaaure of the other?
Answer by user_dude2008(716) (Show Source):
Question 238588: What are the measures of two supplementary angles where one is three times larger than the other?
Answer by user_dude2008(716) (Show Source):
Question 238431: find the angle such that its complement is nine time the angle itself
Answer by checkley77(7049) (Show Source):
Question 238498: find the measure of the complement of a 9 degee angle
Answer by checkley77(7049) (Show Source):
Question 238417: How many degrees are there in an angle that measures 25 degree more than the measure of its complement?
The measure of the supplement of an angle is 45 degree less than four times the measure of the angle. Find the measure of the angle and its supplement.
Answer by anantha(74) (Show Source):
You can put this solution on YOUR website!sol:
let the angle be x
its complement angle=90-x
according to the problem
x=25+(90-x)
90-x transpose to L.H.S side
x-(90-x)=25
x-90+x=25
2x-90=25
adding 90 on both sides
2x-90+90=25+90
2x=115
dividing by 2 on both sides
2x/2=115/2
x=57.5
sol:
let the angle be x
supplement of angle=180-x
four times the measure of the angle=4x
according to the problem
supplement of angle=four times measure of angle-45
180-x=4x-45
transpose 45 on L.H.S side and x on R.H.S side
180+45=4x+x
225=5x
dividing both sides by 5
225/5=5x/5
45=x
supplement of angle=180-45=135
Question 238432: find the angle such that its complement is fourteen times the angle
Answer by anantha(74) (Show Source):
You can put this solution on YOUR website!sol:
let the angle be x
fourteen times the angle=14x
complement of the angle=90-x
according to the problem
complement of the angle= 14 times the angle
90-x=14x
adding x on both sides
90-x+x=14x+x
90=15x
dividing both sides by 15 we get
90/15=15x/15
6=x
the angle=6 degrees
Question 238222: y=-2x in standard form then graph
Answer by checkley77(7049) (Show Source):
Question 238213: Two angles are supplementary If one angle has a measure twice the other angle what are the measures of the angles?
Answer by nyc_function(260) (Show Source):
Question 238069: Three of the interior angles of a 9-sided polygon are each x• an remaining 6 interior angles are each 145•. Calculate the value of x。
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!A 9-sided polygon is called a nonagon.
3x + 6(145)
The total value of the angles of a nonagon is 1260 degrees.
Here is your equation and you can solve for x:
3x + 6(145) = 1260
Can you do it now?
Question 237953: Hi. Sorry, I'm not sure if this is the right section to put this question. But I need help solving this problem:
how many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?
Answer by Alan3354(6079) (Show Source):
You can put this solution on YOUR website!Hi. Sorry, I'm not sure if this is the right section to put this question. But I need help solving this problem:
how many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?
------------------
= mile = 5280 ft = 63360 inches
The wheel's circumference is 30*pi inches, so it goes that far each revolution.
63360 in/(30*pi) in/rev = 2112/pi revolutions
= ~ 672.27 revolutions
----------------------
60 mph is 1 mile per minute, so the wheel would turn at 672 rpm at 60 mph.
Question 237775: Please help me solve this equation. The difference between the degree measures of two supplementary angles is 80. Find the degree measure of the larger angle?
Answer by rfer(2688) (Show Source):
Question 237831: How do i solve the problem 360=120+40+x
Answer by rfer(2688) (Show Source):
Question 237820: Angles L and M are complementary. If angle L is 16*, what is angle M?
Answer by College Student(210) (Show Source):
Question 235155: the measure of the angle is 15degrees greater than 2 times its complement. is it 2(90-X)+15?
Answer by College Student(210) (Show Source):
You can put this solution on YOUR website!Complementary angles add up to 90 degrees. Your equation seems to make sense, but it is incorrect. If one of the angles were to be 45 degrees, the other would be [2(90-45)+15=105]. 45+105=150... not complementary of each other.
Think of it this way:
a. One angle is X.
b. The other is 15+2X (15 more than twice its complement)
c. Now you can say: X + (15+2X) = 90
d. Solve for x. This will give you one angle.
e. Then use that value to calculate the complementary angle (15+2X)
.
Problem:
 ...this is one of the angles.
Now calculate the complementary angle
The result is your second angle. I'll let you finish it.
Remember to check your results by adding them up, they must equal 90 degrees.
Question 237726: the smallest angle in a triangle is one-third of the largest angle.The third angle is 20 degrees more than the smallest angle. Find of all three angles ?
Answer by solver91311(5072) (Show Source):
Question 237709: the measure of an angle is 12 degrees more than twice the measure of its supplement. what is the measure of the angle?
Answer by College Student(210) (Show Source):
You can put this solution on YOUR website!Supplementary angles add up to 180 degrees.
So, one angle is x;
the other is 12 more than twice x.
Therefore, here is the eqn:
Now solve for x to find the value of one of the angles.
(((3x=168}}}
 ... this is one of the angles.
The other angle is 2x+12, right? So...
One angle is 56 degrees, the other is 124 degrees.
Check:
56+124=180
Question 237628: If sin p= 2/3 and p is greater than 90 and smaller than 180
then what is tan p equal to?
Please solve and explain.
Thanks
Answer by stanbon(26273) (Show Source):
You can put this solution on YOUR website!If sin p= 2/3 and p is greater than 90 and smaller than 180
then what is tan p equal to?
-------------
If sin(p) = 2/3 , y = 2 and r = 3
Then x = sqrt(r^2-y^2) = sqrt(9-4) = sqrt(5)
----------------------------------------------
tan(p) = ?
tan(p) = y/x
---
Note: y is positive in the 2nd Quadrant and x is negative
---
So you get tan(p) = 2/(-sqrt(5)) = -(2sqrt(5)/5 or (-2/5)sqrt(5)
===============================================================
Cheers,
Stan H.
Question 237614: The ratio of two supplementary angles is 4:5. What is the measure of the smaller angle? (Supplementary means the angles have a sum of 180).
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!Let (180 - x) = smaller angle
Let x = bigger angle
Then 4x + 5x = 180
9x = 900
x = 900/9
x = 100
The bigger angle is 100.
Smaller angle = 180 - 100 or 80.
Question 237516: In the diagram of isosceles trapezoid ABCD, AB = CD. The measure of ∠B is 40° more than the measure of ∠A.
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!Where is the rest of the question?
You left the punch line out.
Please, write the entire problem or else it does not make sense.
Question 237517: In rhombus ABCD, the measure, in inches, of AB is 3x + 2 and BC is x + 12. Find the number of inches in the length of DC.
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!A rhombus has equal measure all around.
This means we can equate the given expressions and solve for x as step one.
3x + 2 = x + 12
3x - x = -2 + 12
2x = 10
x = 10/2
x = 5
Now, side AB = side DC.
AB was given to be 3x + 2.
Let x = 5
AB = 3(5) + 2
AB = 15 + 2
AB = 17 inches
If AB = DC, then DC = 17 inches
Question 237515: Two angles are complementary. One angle has a measure that is five times the measure of the other angle. What is the measure, in degrees, of the larger angle?
Answer by College Student(210) (Show Source):
You can put this solution on YOUR website!Two angles are complementary when they add up to 90 degrees. So,
90 degrees divided by 6 portions = 15 degrees.
You divide it by 6 so you can end up with 5 + 1.
Thus, one angle is 15*5=75 degrees.
The second angle is 15 degrees.
Question 237409: angle PQR is adjacent to angle RQS
angle PQS is 180 degrees and angle PQR is 10 degrees
Find the measure of angle RQS
--------------------
this is the last one. we had a sub teacher at school today and i dont understand this. Thank you so much.
Answer by College Student(210) (Show Source):
You can put this solution on YOUR website!Adjacent angles means they are next to each other, sharing on side. We are talikng about a semi circle or a full circle here.
If this problem pertains to a full circle, then...
A full circle = 360 degrees, thus a half a circle = 180 degrees.
.
Knowing this, you now know:
a. Angle PQS is 180 degrees,
b. Angle PQR is 10 degrees, and
c. both angles are adjacent.
.
Total degrees are 190. So, 360 degrees - 190 degrees = 170 degrees.
.
Assuming we're talking about a full circle, which your problem doesn't specify, Angle RQS would then be 170 degrees.
.
Hint: in problems like this one where angles are adjacent, always write down the measurements you know. Then figure out the difference.
Question 237407: angle BCD is adjacent to angle DCM.
angle BCD is 75 degrees and angle DCM is 40 degrees
Find the measure of angle BCM.
---------------------
I tried to answer this but am so lost. Please help
Answer by solver91311(5072) (Show Source):
You can put this solution on YOUR website!
If the two angles are adjacent, then they are right next to each other. Ray CD is common to both given angles. That means the angle between rays CB and CM is just the sum of the two given angles. Add 75 to 40.
John
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