SOLUTION: Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.

Algebra ->  Angles -> SOLUTION: Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.      Log On


   

Question 666082: Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary angles sum to 180.
...
Establish variables
x = smaller angle
y = larger angle
...
Given
x = 1%2F2y
x+y=180
...
Substitute x into the second equation and solve for y, the larger angle
1%2F2y + y = 180
Multiply both sides by 2 to be rid of the fraction
y + 2y = 360
3y = 360
highlight_green%28y=120%29
...
Check cartoon%28%0D%0A120+%2B+%281%2F2%29%28120%29%2C%0D%0A120+%2B+60%2C%0D%0A180%29
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com