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)   (Show Source): You can put this solution on YOUR website!
You need to solve 2 equations simultaneously.
First name the variables.
Let be the angle.
Let be the complement.
1. By definition.
That's the first equation.
Then also,
2.
Now you can substitute eq. 2 into eq. 1 and solve for .
.
.
.




degrees
Then from eq. 1,


degrees

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