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What is the measure of an angle that is nine times its supplement? degrees?

User Mrcoulson
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1 Answer

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Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure
x. The problem states that its supplemenbt is nine times this, so it has measure
9x.
We know that these angles together equal 180°, so we can write
x+9x=180.

We can solve for x.

10x=180\\x=18


If x = 18, then the has a measure of
9(18), or 162°.
User Dickbarba
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