Find the angles in each of the following.
Two complementary angles are in the ratio 3:2.

Question

Find the angles in each of the following.Two complementary angles are in the ratio 3:2.

Philoid · Accepted Answer

Let the complimentary angles be 3x and 2x

We know that two angles are said to be complimentary if their sum is 90°.

⇒ 2x + 3x = 90°

⇒ 5x = 90°

⇒ x = 18°

So, the complimentary angles will be 2×18° = 36° and 3×18° = 54°