SOLUTION: Two angles are complementary. If twice the smaller is increase by 32, the result is the same as when three times the larger is decreased by 38. Find the measure of each angle.

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Question 814736: Two angles are complementary. If twice the smaller is increase by 32, the result is the same as when three times the larger is decreased by 38. Find the measure of each angle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Two angles x and (90°-x) are complementary.

Question states***

2x + 32° = 3(90°-x) - 38° ***

Solving for x

  5x = 200°

   x = 40°  and its Complement is 50°

CHECKING our Answer***

 80° + 32° = 150° - 38° = 112°