SOLUTION: What is the measure of the supplement? The measure of an angle is 9 times greater than its supplement.

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Question 895295: What is the measure of the supplement?
The measure of an angle is 9 times greater than its supplement.
Found 2 solutions by harpazo, Theo:
Answer by harpazo(655) (Show Source):
You can put this solution on YOUR website!
Let x by the angle we are looking for.

x = 9(180 - x)

x = 1620 - 9x

x + 9x = 1620

10x = 1620

x = 1620/10

x = 162 degrees.

The answer is 162 degrees.

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the supplement is what you get when you subtract your angle from 180 degrees.

the angle and its supplement is always equal to 180 degrees.

if the angle is x, then the supplement is 180 - x.

if the angle is 9 times its supplement then the angle is equal to 9 * (180 - x)

your equation is x = 9 * (180 - x)

simplify this equation to get:

x = 1620 - 9x

add 9x to both sides of this equation to get:

10x = 1620

divide both sides of this equation by 10 to get:

x = 162 degrees.

the angle is 162 degrees.

its supplement is 180 - 162 = 18 degrees.

9 * 18 = 162 degrees.

the angle is equal to 9 times its supplement.

the problem is solved and the solution is x = 162 degrees.