Questions on Geometry: Angles, complementary, supplementary angles answered by real tutors!

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Question 1209965: How do i establish a 52degree angle of of a baseline?
Painting lines in a parking lot and they need to be 52 degee angle from the curbline
Click here to see answer by CPhill(1959)

Question 1186313: A triangular lot ABC with BC=400m and B=50° is divided into two parts by the line DE=150m which is parallel to BC. Point D and E are located on the side of AB and AC, respectively. The area of the segment BCED is 50,977 sq.m.
a. Find the angle that the side AC makes with the side BC
b. Find the area of ABC
c. Find the area of ADE

Click here to see answer by CPhill(1959)

Question 1191303: Complete the formal proof of the following theorem.
The bisectors of two adjacent supplementary angles form a right angle.
There is a line and three rays. There are six labeled points and four labeled angles.
Line A D is horizontal. B is on this line and between A and D.
Ray B C goes up and to the right.
Ray B F goes up and to the right. Point F is below and to the right of point C.
Ray B E goes up and to the left.
Angle A B E is labeled 1 and is marked with one arc.
Angle C B E is labeled 2 and is marked with one arc.
Angle C B F is labeled 3 and is marked with two arcs.
Angle D B F is labeled 4 and is marked with two arcs.
Given:
∠ABC is supplementary to ∠CBD.
BE bisects ∠ABC.
BF bisects ∠CBD.
Prove: ∠EBF is a right angle.
Statements Reasons
1.
---Select---
1. Given
2.
---Select---
2. The sum of the measures of supplementary ∠s is 180°.
3. m∠ABC = m∠1 + m∠2;
---Select---
3.
---Select---
4.
---Select---
4. Substitution
5.
BE bisects ∠ABC;

BF bisects ∠CBD.
5.
---Select---
6.
---Select---
6. If a ray bisects an ∠, then two ∠s of = measure are formed.
7. m∠2 + m∠2 + m∠3 + m∠3 = 180° 7.
---Select---
8.
2 · m∠2 + 2 · m∠3 = 180°
8. Combine like terms.
9. m∠2 + m∠3 = 90° 9.
---Select---
10.
---Select---
10. Angle-Addition Postulate
11.
---Select---
11. Substitution
12.
---Select---
12.
---Select---

Click here to see answer by CPhill(1959)

Question 1209519: (38) Find the value of w.
Link to diagram: https://ibb.co/202BWZT9
Click here to see answer by CPhill(1959)

Question 1191305: Complete the formal proof of the theorem.
If two line segments are congruent, then their midpoints separate these segments into four congruent segments.
Line segment A B is above line segment D C. The two segments appear to be the same length. Points M and N are the midpoints of segments A B and D C, respectively.
Given:
AB ≅ DC
M is the midpoint of AB.
N is the midpoint of DC.
Prove:
AM ≅ MB ≅ DN ≅ NC
Statements Reasons
1.
AB ≅ DC
1.
Given

Correct: Your answer is correct.
2.
AB = DC

Correct: Your answer is correct.
2. If segments are ≅, then they are = in length.
3. AB = AM + MB;
AM + MB = DN + NC

Incorrect: Your answer is incorrect.
3.
Given

Incorrect: Your answer is incorrect.
4.
AM = MB = DN = NC

Incorrect: Your answer is incorrect.
4. Substitution
5.
M is the midpoint of AB;

N is the midpoint of DC.
5.
Given

Correct: Your answer is correct.
6.
AM = MB and DN = NC

Correct: Your answer is correct.
6. The midpoint of a segment forms two segments = in measure.
7. AM + AM = DN + DN 7.
Substitution

Correct: Your answer is correct.
8.
2 · AM = 2 · DN
8. Combine like terms.
9. AM = DN 9.
Division Property of Equality

Correct: Your answer is correct.
10.
AM + MB = DN + NC

Incorrect: Your answer is incorrect.
10. Substitution
11.
AM ≅ MB ≅ DN ≅ NC
11.
If segments are = in length, then they are ≅.

Correct: Your answer is correct.

Click here to see answer by ikleyn(52778)

Question 1191300: Use the drawing in which
AC intersects DB
at point O to answer the question.
Two lines intersect at point O to form four angles.
Line A C goes from point A in the top left, through point O in the center, to point C in the bottom right.
Line D B goes from point D in the bottom left, through O on line A C, to point B in the top right.
The angle at the bottom, ∠C O D, is labeled 1.
The angle on the left, ∠D O A, is labeled 2.
The angle at the top, ∠A O B, is labeled 3.
The angle on the right, ∠B O C, is labeled 4.
If
m∠2 =
x
2
− 30
°

and
m∠3 =
x
3
+ 60
°

,
find x and m∠2 in degrees.
x =
m∠2 =
°
Need Help? Read It
Click here to see answer by ikleyn(52778)

Question 1209511: bd 5x 26 bc=2x+1 and ac=43 find ab
Click here to see answer by josgarithmetic(39617)

Question 1209478: In triangle ABC, DE is parallel to BC and AD = DE = BE.
If BE is the angle bisector of angle CBA, then find the measure of angle ACB.
Link to the graph: https://ibb.co/h9RJzZR
Click here to see answer by greenestamps(13200)

Question 1209480: The center of the circle is O, angle TQR = 46 degrees and angle QTO = 51 degrees.
Find the measure of angle RPO.
Link to graph: https://ibb.co/bmnmVgb
Click here to see answer by greenestamps(13200)

Question 1209487: (31) If AB = BC = CD and ∠BCA = 54°, then find the measure of angle ABD.
Diagram: https://ibb.co/zVZdT58
Click here to see answer by ikleyn(52778)

Question 1209462: An angle measures 68° more than the measure of its supplementary angle. What is the measure of each angle
Click here to see answer by greenestamps(13200)

Question 1209444: Verify the triangles are similar using AA theorem. Show your work
What type of angles are angle P?
What two angle pairs are congruent
______ & ______
______ & ______
https://ibb.co/f98nbmr
Click here to see answer by ikleyn(52778)

Question 1186931: An isosceles triangle ABC, in which AB = BC = 6√2 and AC = 12 is folded along the altitude BD so that planes ABD and BDC form a right dihedral angle. Find the angle between side AB and its new
position.

Click here to see answer by ikleyn(52778)

Question 1209183: Angle T and Angle S are supplementary. Angle T measures (5x-3)
and Angle S measures (2x+1)
.
Find the measure of each angle.
Click here to see answer by ikleyn(52778)

Question 1208920: In the diagram, find the measure of ∠ BFD.
https://ibb.co/xsSFXH4
Click here to see answer by ikleyn(52778)

Question 1208657: the supplement of an angle is four times the complement of the angle find the measure of half the supplement of the angle

Click here to see answer by math_tutor2020(3816)

Question 1208476: An angle measures 153.2° less than the measure of its supplementary angle. What is the measure of each angle?

Click here to see answer by josgarithmetic(39617)

Question 1208246: Angles A and B complimentary angles. Find angles A and B.
Angle A = 4x+31
Angle B =-2x+44
Click here to see answer by ikleyn(52778)

Question 1208163: the supplement of an angle is 16 less than 3 times the angle, find the angle

Click here to see answer by ikleyn(52778)

Question 1207551: What would the three legs be for a 125.25 degree angle
Click here to see answer by greenestamps(13200)

Question 1207028: The measure of an angle is 139.8°. What is the measure of its supplementary angle?
Click here to see answer by mananth(16946)

Question 1206694: line segment CE has two bisectors. the first line OR is a perpendicular bisector. what can you conclude about the second bisector, line ST?
A. ST is equal to OR
B. ST is perpendicular to CE
C. ST is equal to CE
D.ST is not perpendicular to CE
E.ST is perpendicular to OR
Click here to see answer by greenestamps(13200)

Question 1206536: triangle EBT is similar to SDA. if the perimeter of EBT is 63, the perimeter of SDA is 21. BT=6x, and DA=x+3, find BT and DA
Click here to see answer by math_tutor2020(3816)

Question 1206535: assume triangle abc is similar to fgh with median ap and fq to both sides bc and gh respectively, ab=9 and fg=6 if ap is 4 greater than fq find both medians

Click here to see answer by greenestamps(13200)

Question 1206495: In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?
A.
42°
B.
45°
C.
48°
D.
93°
Click here to see answer by mananth(16946)

Question 1206493: An angle measures 155.2° less than the measure of its supplementary angle. What is the measure of each angle?

Click here to see answer by greenestamps(13200)

Question 1206434: Find the measure of the linear pair
(5x-18)° & (4x+45)°
Click here to see answer by ikleyn(52778)

Question 1206435: Find the measure of the linear pair
(5x-18)° (4x+45)°
Click here to see answer by ikleyn(52778)

Question 1206267: If the two acute angles of a right triangle differ by 12, then what are measure of the three angles of this triangle?

Click here to see answer by mananth(16946)

Question 1206203: n the figure below, ∠2 and ∠3 are _________ angles.https://lh5.googleusercontent.com/dtgoufHvg32Z3TDuBFe3fQufLm4tLHI6fIUzNLFd4hYDKZHG3UcbGX8jWkCDs8x9lv2TmBjwcgaamr71O3VKydNvJS4a1wmfrQTyfR48xvqkeyAPwSvpt--BZua4Z6BC4D3NnRt2p852TZKLDddW8eE

Click here to see answer by ikleyn(52778)

Question 1206089: Calculate the perimeter of the square if a right triangle has legs a=9, b=17, and hypotenuse c=9.x.
Using a right triangle and square
Click here to see answer by ikleyn(52778)

Question 1205853: Given that angle ghf is congruent to angle jhf write a statement that can be justified using the definition of congruent angles

Click here to see answer by MathLover1(20849)

Question 1205317: mo bisects < amb , m< amo = 7x-3 and m< bmo = 2x+12 solve for x and find m < amb

Click here to see answer by Edwin McCravy(20054)

Question 1205317: mo bisects < amb , m< amo = 7x-3 and m< bmo = 2x+12 solve for x and find m < amb

Click here to see answer by MathLover1(20849)

Question 1205141: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement.
given: angle ADP=CDP
Prove: PD is an angle bisector of angle ADC
A: corresponding parts of a congruent triangle are congruent
B: betweenness of rays
C: definition of an angle bisector
D: angle-side-angle
E: hypotenuse-leg
Click here to see answer by Edwin McCravy(20054)

Question 1204931: SP bisects
Click here to see answer by mananth(16946)

Question 1204837: m∠CDF=(4x - 5)°, and m∠BCD=(7x+8)°.
Find the value of x. Then, find m∠EFC.
Click here to see answer by mananth(16946)

Question 1204564: point P is not on line AB. line BV and FG both run through P and line AB. what can you conclude about line BV and line FG.
A. BV and FG cannot both be perpendicular to AB
B.BV and FG are congruent lines
C. BV and FG are perpendicular to each other
D.BV and FG are both perpendicular to AB
E.BV and FG intersect AB at the same point

Click here to see answer by greenestamps(13200)

Question 1204239: What is the conclusion in this conditional statement?
That animal is a dinosaur, so it is extinct.
Click here to see answer by mananth(16946)

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