An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?
Let the supplementary angle = $$\theta$$
Required angle = $$(\frac{2}{3}\theta)$$
Sum of an angle and its supplementary angle = 180°
=> $$\theta + (\frac{2}{3}\theta) = 180$$°
=> $$\frac{5}{3} \theta = 180$$°
=> $$\theta = \frac{180 \times 3}{5} = 108$$°
$$\therefore$$ Measure of the angle = $$\frac{2}{3} \times 108 = 72$$°
=> Ans - (B)
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