SOLUTION: Two angles are supplementary if their sum is​ 180°. The larger angle measures thirty degrees more than twice the measure of a smaller angle. If x represents the measu

Algebra ->  Angles -> SOLUTION: Two angles are supplementary if their sum is​ 180°. The larger angle measures thirty degrees more than twice the measure of a smaller angle. If x represents the measu      Log On


   

Question 1028397: Two angles are supplementary if their sum is​ 180°. The larger angle measures
thirty
degrees more than
twice
the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
larger angle:y
y = 2x+30
and
y+x = 180 now substitute for y:
2x+30+x = 180
3x = 150
x = 50 is the small angle, and the large angle is:
(50*2)+30 = 130
~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
50+130 = 180 Correct.