Posted by **Carol** on Thursday, November 13, 2008 at 4:07pm.

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 -
**Reiny**, Thursday, November 13, 2008 at 4:20pm
(90-x) + (180-x) = 162

solve for x

- Algebra 1 -
**DrBob222**, Thursday, November 13, 2008 at 4:26pm
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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