SOLUTION: The measure of the supplement of angle C is fifteen more than the four times the measure of its complement. What is the measure of angle C? May someone also explain how to get t

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Question 903389: The measure of the supplement of angle C is fifteen more than the four times the measure of its complement. What is the measure of angle C?
May someone also explain how to get this? This just confuses me with 'supplement' and 'complement'. I know when they are added, it becomes 180 and 90 degrees, respectively, but with them together in one problem confuses me more! Thank you in advance to whoever will help! :)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
c, measure of angle;

180-c=15%2B4%2890-c%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

The measure of the supplement of angle C is fifteen more than the four times the measure of its complement. What is the measure of angle C?
May someone also explain how to get this? This just confuses me with 'supplement' and 'complement'. I know when they are added, it becomes 180 and 90 degrees, respectively, but with them together in one problem confuses me more! Thank you in advance to whoever will help! :)


Let angle's measurement, be A

Then its supplement is: 180 - A, and its complement is: 90 - A

Therefore, 180 - A = 4(90 - A) + 15

Now solve for A, the angle's measurement. It's not that confusing!!