SOLUTION: The sum of the measures of two complementary angles is 90 degrees. If one angle measures 15 degrees more than twice the measure of its complement , find the measure of each angle.

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Question 343331: The sum of the measures of two complementary angles is 90 degrees. If one angle measures 15 degrees more than twice the measure of its complement , find the measure of each angle. How do I figure out what numbers to use?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need to solve 2 equations simultaneously.
First name the variables.
Let A be the angle.
Let C be the complement.
1.A%2BC=90 By definition.
That's the first equation.
Then also,
2.A=15%2B2C
Now you can substitute eq. 2 into eq. 1 and solve for C.
.
.
.
A%2BC=90
%2815%2B2C%29%2BC=90
15%2B3C=90
3C=75
highlight%28C=25%29degrees
Then from eq. 1,
A%2BC=90
A%2B25=90
highlight%28A=65%29degrees