The measure of an angle whose supplement is three times as large as its complement, is

The measure of an angle whose supplement is three times as large as its complement, is

Let the angle be $$\theta$$

Supplement of $$\theta = 180^{\circ}-\theta$$

and complement of $$\theta = 90^{\circ}-\theta$$

Acc. to ques

=> $$3* (90^{\circ}-\theta) = 180^{\circ}-\theta$$

=> $$270^{\circ} - 3\theta = 180^{\circ} - \theta$$

=> $$2\theta = 270^{\circ}-180^{\circ}$$

=> $$\theta = \frac{90^{\circ}}{2} = 45^{\circ}$$