SOLUTION: Two angles are complementary. If one angle is 5 degrees less than three times the other angle, what are the angles?

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Question 487941: Two angles are complementary. If one angle is 5 degrees less than three times the other angle, what are the angles?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary Angles add up to 90°.
let angles be alpha and beta
given:
one angle,alpha, is 5 degrees less than three+times the other angle,beta
alpha%2Bbeta=90....1
alpha%2B5=3beta....2
------------------------
alpha%2Bbeta=90....1...solve for beta
beta=90-alpha....plug it in 2

alpha%2B5=3%2890-alpha%29....2..solve for alpha

alpha%2B5=270-3alpha%29.
alpha%2B3alpha=270-5%29.
4alpha=265%29.
alpha=265%2F4%29
highlight%28alpha=66.25%29%29

now find beta
beta=90-66.25
highlight%28beta=23.75%29