SOLUTION: Angle C is the complement of angle A and the supplement of angle B. Additionally, the measure of angle A plus the measure of angle B equals 202 degrees. What is the number of degre

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Question 814520: Angle C is the complement of angle A and the supplement of angle B. Additionally, the measure of angle A plus the measure of angle B equals 202 degrees. What is the number of degrees in the measure of angle C?

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
C+A=90 and C+B=180.
ADDITIONALLY, A+B=202.

Note how the last equation does not contain C, but both of the first two equations do contain C. Use them to eliminate C and then you will ...

, and ,
then ,




... have two equations in the unknowns, A and B.
and

Solving:



..
.
.
Study what has been shown, be sure you can follow it, and then finish the solution steps.

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