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

Answer:

We know that Two angles are complementary if the sum of their degree measures equals 90 degrees. x + y = 90 ----- (1). Given that Difference of two complementary angles is 40. x = 65.

Answer 2

Answer:

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°.