Angle c and angle d are supplementary, the measure of angle d is eight times the measure of angle
c. find measure of angle c and measure of angle d

Two angles are supplementary when they add up to 180 degrees ⇒
d = 180 - c
and
d = 8c (given)

8c = 180 - с
8с + с = 180
9с = 180
с = 180/9
m∠с = 20°
m∠d = 8c = 8*20 = 160°

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