Question

∠1 and​ ​ ∠2 ​ ​are complementary angles.

m∠1=52°

What is the measure of ​ ∠2 ​​?

Answer 1

∠2 = 38°

Explanation:

We know that two angles are complementary angles if the sum of the angle is 90 degrees.

Since, we have been given that ∠1 and​ ​ ∠2 ​ ​are complementary angles. Hence, we have

∠1 +∠2 = 90°

Given that m∠1=52°

52°+∠2 = 90°

Subtract 52 to both sides

∠2 = 90°-52°

∠2 = 38°