Asked by Anonymous

The measure of angle B, the supplement of angle A, is four times the measure of angle C, the complement of angle A.

I need to find the measure of all angles and i have no idea of where to start, any help would be appreciated.

Answers

Answered by Steve
sure you have an idea. What property do supplementary angles have? They add to 180°. Complementary angles add to 90°.

so, B = 180-A
C = 90-A

B = 4C, so
180-A = 4(90-A)
180-A = 360-4A
3A = 180
A = 60

complement = 30°
supplement = 120°, which is 4 times 30°
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