Question

Find the two complementary angles, so that the measure of one angle is 10° less than the other angle​

Answer 1

Answer:

40° and 50°

Step-by-step explanation:

Let the angles be x and y.

As they are complementary,

x + y = 90°.

x - y = 10°

Adding them, you get 2x = 100°

x = 100° / 2 = 50°

x + y = 90°

y = 90° - x

  = 90° - 50° = 40°

∴ The ∠s are 40° and 50°.