Posted by Carol on .
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,
(90x) + (180x) = 162
solve for x 
Algebra 1 
Carol,
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 
DrBob222,
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.