Question

The difference between the measures of the two angles of a complementary pair is 40^°. Find the measures of the two angles.

Answer 1

Let the measure of the first angle a.
Then, the measure of the other angle a + 40°
Now, a + a + 40 = 90
⇒ 2a = 50
⇒ a = 25°
Hence, the measure of the two angles are 25° and 65°.