SOLUTION: Well, I was working on my homework, and I cant quite resolve this problem: "Find a pair of complementary angles such that the difference of their measures is 12 degrees. "

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Question 335365: Well, I was working on my homework, and I cant quite resolve this problem:
"Find a pair of complementary angles such that the difference of their measures is 12 degrees. "
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
"Find a pair of complementary angles such that the difference of their measures is 12 degrees. "
:
Complementary angles are angles that add up to 90 degrees
a + b = 90
:
It says,"the difference of their measures is 12 degrees. "; therefore
a - b = 12
:
Add the two equations, use elimination
a + b = 90
a - b = 12
-------------adding eliminates b, find a
2a = 102
a =
a = 51 degrees
:
Find b
a + b = 90
51 + b = 90
b = 90 - 51
b = 39 degrees
:
:
Check: 51 - 39 = 12