SOLUTION: The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle? Can you break down this answer step by step as possible? thank you

Question 617878: The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle?
Can you break down this answer step by step as possible?
thank you.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle?
Can you break down this answer step by step as possible?
thank you.

Supplementary angles sum to , while complementary angles sum to

Let the measure of the angle be A
Then its supplement = 180 - A
Additionally, its complement = 90 - A

Since it's stated that, "The supplement of an angle measures 10 times the measure of its complement," then we'll have:

180 - A = 10(90 - A)

180 - A = 900 - 10A

- A + 10A = 900 - 180

9A = 720

A, or measure of angle = , or

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