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

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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) About Me  (Show Source):
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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 180%5Eo, while complementary angles sum to 90%5Eo

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 = 720%2F9, or highlight_green%2880%5Eo%29

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