SOLUTION: If two angles are complementary, their sum is 90 degrees . If one of two complementary angles is 16 degrees greater than the other, find the measure of each angle.

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Question 178956: If two angles are complementary, their sum is 90 degrees . If one of two complementary angles is 16 degrees greater than the other, find the measure of each angle.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the angles by a and b
:
a+b=90.....eq 1
a=b+16.....eq 2
:
take a's value from eq 2 and plug it into eq 1
:
b+16+b=90
:
2b=74
:
highlight%28b=37%29degrees
:
highlight%2837%2B16=53%29degrees