SOLUTION: The measure of a supplement of an angle is 12 degrees greater then 3 times the measure of a complement. Find the measure of the angle.

Question 155475: The measure of a supplement of an angle is 12 degrees greater then 3 times the measure of a complement. Find the measure of the angle.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Let's bisect the problem carefully.
First illustration:
and are supplementary angles, so -----> eqn 1
It shows is a supplement of and a exist that the supplement which is , is 12 degrees greater than 3 times the complement.
2nd illustration:
We make again and complementary angles this time, so
----> eqn 2. we make a complement of . To show the condition on the 1st illustration: ----> 12 greater than 3 times the complement, being a complement of right?
Substitute the to eqn 1:

For in question via eqn 1:

To check, go back to the :

Thank you,
Jojo
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