Question

what is the measure of the angle whose supplementary angle is 4 times it's complementary angle ??
a) 20°
b) 40°
c) 60°
d) 80°
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Answer 1

I think Option c) 60° is correct

Answer 2

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given, supplement angle = 4 × complement angle

(180° - x) = 4 × (90° -x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 180/3

x = 60°

Hope it helps you......