SOLUTION: The sum of the measures of 2 complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle.

Question 898544: The sum of the measures of 2 complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x and y are the measures of two complementary angles.

x+y=90.

The rest of the description transcribes to .
You use meaning of supplementary angles, that their sum is 180 degrees.

Simplify the more complicated equation.

NOW you have a simplifies SYSTEM of equations:

If you begin with elimination method, you eliminate x and solve for y value.

This means .
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The sum of the measures of 2 complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle.

Smaller complementary angle:
Larger complementary angle:
You can do the check!!
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