SOLUTION: Please help me to solve this geometry problem. The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 45 degree. Find

Algebra ->  Angles -> SOLUTION: Please help me to solve this geometry problem. The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 45 degree. Find       Log On


   

Question 786961: Please help me to solve this geometry problem. 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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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
: