SOLUTION: Q: Find the measure of two supplementary angles if one angle is 20 degrees more than four times the other. this is what I think it is, but not sure! 4x+20=180 4x=140 x=35

Question 476525: Q: Find the measure of two supplementary angles if one angle is 20 degrees more than four times the other.
this is what I think it is, but not sure!
4x+20=180
4x=140
x=35
angle 1= 35
angle 2= 35
angle 3= 110
is this correct?
thanks!!
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The problem says there are two supplementary angles. You are looking for two angles, not three. By the definition of supplementary angles, you are looking for two angles whose whose measures when added result in a total measure of 180 degrees.
.
Let's call the measure of one angle x.
.
The measure of the other angle is 4 times the other plus 20 degrees. In algebraic terms this is 4x + 20.
.
When you add the measures of these two angles, the total is to be 180 degrees. In equation form this is:
.
x + (4x + 20) = 180
.
Combine the terms containing x and the equation becomes:
.
5x + 20 = 180
.
Get rid of the 20 on the left side by subtracting 20 from both sides:
.
5x = 160
.
Solve for x by dividing both sides by 5:
.
x = 180/5 = 32
.
So one of the angles is 32 degrees. The other angle must therefore be 180 - 32 = 148 degrees.
.
You can also check to see what 4 times 32 + 20 equals. 4 times 32 = 128 degrees and then add 20 more degrees and you have 148. So that checks.
.
The measures of the two supplementary angles that satisfy this problem are 32 and 148 degrees.
.
Hope this helps you understand the problem a little better.

RELATED QUESTIONS
Two angles are supplementary. One is 15 (degrees) more than Four times the other. Find... (answered by scott8148)

Find the supplementary angles if one angle is 20* more than four times the... (answered by rfer)

Find the measures of two complentary angles if one angle is 20 degrees more than four... (answered by TimothyLamb,ewatrrr)

Two angles are supplementary. If the measure of one angle is 64 degrees more than the... (answered by jpvn2015)

Two angles are supplementary. One angle is 6 degrees more than 4 times the other angle.... (answered by linh117)

Two angles are supplementary. The measure of one angle is 20 degrees less than 19 times... (answered by rfer)

Two angles are supplementary. One angle measures 12 degrees more than the other. What is... (answered by rfer,drj)

two angles are supplementary. the measure of one angle is ten degrees more than three... (answered by HyperBrain)

Two angles are supplementary. The measure of one angle is 10 degrees more than three... (answered by rfer)