SOLUTION: An angle measures 38° more than the measure of a complementary angle. What is the measure of each angle?

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Question 490259: An angle measures 38° more than the measure of a complementary angle. What is the measure of each angle?

Answer by MathLover1(20850) About Me  (Show Source):
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Complementary Angles add up to 90°.

let angles be alpha and beta

alpha%2Bbeta=90
given:
angle alpha measures 38° more than the measure of a complementary angle beta
so, alpha=beta%2B38....plug it in alpha%2Bbeta=90

beta%2B38%2Bbeta=90

2beta%2B38=90
2beta=90-38
2beta=52
beta=26
than alpha=26%2B38.......->...alpha=64