Question 786961
The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 45 degree.
 Find the measure of each angle. Thanks.
:
Two angles A & B
:
A + B = 90; (Sum of two complementary angles)
:
(180-A) - (180-B) = 90 = 90 - 45
180 - A - 180 + B = 45
-A + B = 45
+A + B = 90
--------------adding eliminates A, find B
2B = 135
B = 135/2
B = 67.5 degrees
then
90 - 67.5 = 22.5 degrees, the measure of A
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