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 measure of th
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Question 1067849: 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 gsmani_iyer(201) (Show Source):
You can put this solution on YOUR website! Let the smaller angle = x
then the greater angle = 2x + 30 ... ... ... (Given)
x + 2x +30 = 180 degrees. .... (Supplementary angles)
3x + 30 = 180 degrees.
3x = 180 - 30
3x = 150
therefore x = 150/3 = 50 degrees.
Smaller angle = 50 and
Larger angle = 130 degrees.
I hope this is clear to you.
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