Question

An angle is equal to one-third of its supplement. Find its measure in degrees.

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Answer 1

Let the measure of the required angle be x degrees. Then,

It's supplement = 180^o - x

It is given that

Angle = $\frac{1}{3}$(It's supplement)

x = $\frac{1}{3}$(180${}^{\circ }$ - x)

3x = 180${}^{\circ }$ - x

4x = 180${}^{\circ }$

x = 45${}^{\circ }$

Thus, the measure of the given angle is 45${}^{\circ }$.