Question

An angle is $\frac{2}{3}$ times its supplementary angle, the measure of the angle is __________.

Answer 1

Let the measure of angle be x.

∴ Supplement of the angle = 180º − x

It is given that,

Measure of the angle = $\frac{2}{3}$ × Supplement of the angle
$$\begin{gathered} \therefore x=\frac{2}{3}\left(180°-x\right) \\ \Rightarrow 3x=360°-2x \\ \Rightarrow 5x=360° \\ \Rightarrow x=\frac{360°}{5}=72° \end{gathered}$$

Thus, the measure of the angle is 72º.

An angle is $\frac{2}{3}$ times its supplementary angle, the measure of the angle is ___72º___.