SOLUTION: Three times the complement of an angle is 30 degrees less than the angle

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Question 521574: Three times the complement of an angle is 30 degrees less than the angle
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let's the complement angles be alpha and beta
by definition of complement angles alpha%2Bbeta=90

Three times the complement of an angle is 30 degrees less than the angle:
3%2Abeta+%2B30=alpha.... plug it in alpha%2Bbeta=90 and solve for beta
3%2Abeta+%2B30%2Bbeta=90
4%2Abeta+=90-30
4%2Abeta+=60
beta+=60%2F4
beta+=15....now find alpha
alpha=3%2Abeta+%2B30
alpha=3%2A15+%2B30
alpha=45+%2B30
alpha=75