Two complementary angles are in the ratio of 2: 1. Find the measure of the angles.

Given :

Two complementary angles are in the ratio of 2: 1.

To do :

We have to find the measure of angles.

Solution :

Let the measure of angles be 2x and 1x.

Two angles are complementary if the sum of the angles is 90°.

So, $2x +1x = 90°$

$3x = 90°$

$x = \frac{90°}{3} = 30°$

$x = 30°$

$2x = 2(30°) = 60°$

Therefore, the measure of the two angles is 60° and 30°.