SOLUTION: the measure of angle B, the supplement of angle A, is 4 times the measure of angle C, the complement of angle A

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Question 229359: the measure of angle B, the supplement of angle A, is 4 times the measure of angle C, the complement of angle A
Answer by checkley77(12844) About Me  (Show Source):
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B=4C
A+C=90
A=90-C
A+B+C=180
(90-C)+4C=180
90-C+4C+C=180
4C=180-90
4C=90
C=90/4
C=22.50 DEGREES.
A+22.5=90
A=90-22.5
A=67.5 DEGREES.
B=4*22.5=90 DEGREES.
PROOF:
A+C+B=180
60+30+90=180