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.

1 answer

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°