Question

Out of a pair of complementary angles, one is two-third of the other. Find the angles.

Answer 1

Let one angle be x. 

So, other angle = 90° – x 

Thus, 2/3 × x = 90° – x 

or 2x = 270° – 3x 

or 2x + 3x = 270° 

or 5x = 270° 

or x = 270°/5 = 54° 

So, one angle = 54° and the other angle = 90° – 54°= 36°