# Algebra 1

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I need putting this word sentence into a mathematical sentence.

Find the measure of an angle if the sum of the measures of its complement and supplement is 162o.

• Algebra 1 -

(90-x) + (180-x) = 162
solve for x

• Algebra 1 -

I've solved for X before but for some reason I'm stuck on this one. How do I solve for X here?

• Algebra 1 -

Call the angle A, its complement C, its supplement S.
A + C = 90
A + S = 180
C + S = 162.
Three equation and three unkmnowns.
I would solve equation 3 for C and substitute that into equation 1. Then solve 1 and 2 simultaneously. Post your work if you get stuck.

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