The difference between the two angles is 20°. If these angles are complementary, find the angles.

Let the two angles be x and y.

Given: x and y are complementary angles.

We know, the sum of two complementary angles is 90°.

⇒ x + y = 90°

It is also given that x – y = 20°

Adding these two equations,

(x + y) + (x – y) = 90° + 20°

⇒ 2x = 110°

We have, x – y = 20°

Putting the value of x in the equation we get,

⇒ y = x – 20°

⇒ y = 55° – 20°

∴ y = 35°

Thus, the two angles are 55° and 35°.