SOLUTION: An angle measures 79.2° more than the measure of its complementary angle. What is the measure of each angle?

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Question 1184401: An angle measures 79.2° more than the measure of its complementary angle. What is the measure of each angle?
Answer by MathLover1(20850) About Me  (Show Source):
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Two angles are called complementary if their measures add to 90 degrees.
so,
alpha%2Bbeta=90 ....eq.1
if angle alpha measures 79.2° more than the measure of its complementary angle beta, we have
alpha=beta%2B79.2 ....eq.2, substitute in eq.1
beta%2B79.2%2Bbeta=90 ....eq.1
2beta=90-79.2
2beta=10.8
beta=5.4°
then
alpha=5.4%2B79.2
alpha=84.6°