SOLUTION: The measure of the supplement of an angle is one fourth the measure of the angle. I think the answer would be one fourth, but I'm not sure because I've never seen or done a math pr

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Question 794708: The measure of the supplement of an angle is one fourth the measure of the angle. I think the answer would be one fourth, but I'm not sure because I've never seen or done a math problem like this before. Please help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of the supplement of an angle is one fourth the measure of the angle. I think the answer would be one fourth,
:
Let A = "the angle"
then by definition
180-A = the supplement of the angle
:
We are gong to find A:
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The equation for the statement (the word "is" usually means equal:
:
"The measure of the supplement of an angle is one fourth the measure of the angle. "
(180-A) = 1%2F4A
Get rid of the fraction, multiply both sides by 4
4(180-A) = A
720 - 4A = A
Add 4A to both sides
720 = A + 4A
720 = 5A
A = 720/5
A = 144 is angle (A)
:
:
See if that is true
180 - 144 = 36 degrees is the supplement
1%2F4*144 = 36 degrees; confirms our answer