SOLUTION: If two complementary angles have measures 2x-15 and x+30, find the measure of the smallest acute angle.

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Question 179844: If two complementary angles have measures 2x-15 and x+30, find the measure of the smallest acute angle.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let our angles a=2x-15 and b=x+30
:
a+b=90
:
2x-15+x+30=90
:
3x=75
:
highlight%28x=25%29
:
highlight%28a=2%2825%29-15=35%29degrees (the smallest acute angle)
:
b=25+30=55 degrees