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) About Me  (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 ...

C=90-A, and C=180-B,
then 90-A=180-B,
-A=180-90-B
B-A=180-90
B-A=90

... have two equations in the unknowns, A and B.
A%2BB=202 and B-A=90

Solving:
A%2BB%2BB-A=202%2B90
2B=292
B=146
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Study what has been shown, be sure you can follow it, and then finish the solution steps.