SOLUTION: Two angles are complementary. The sum of measure of the first angle and half the second angle is 76 degrees. Find the measures of the angles What is the measure of the smaller a

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Question 386606: Two angles are complementary. The sum of measure of the first angle and half the second angle is 76 degrees. Find the measures of the angles
What is the measure of the smaller angle?
What is the measure of the other angle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

  Two angles are complementary      

Let x  and (90°-x) represent the first and second angle respectively

Write as we Read***

 x + (90° -x )/2 = 76°

solving for x

  x/2 + 45° = 76°

        x/2 = 31°

         x = 62°, the first angle, the second is 28°



CHECKING our Anwser***

 62° + 14° = 76 °