Question

Two angles are complementary. The measure of one angle is 15 ° more than twice the other. What is the measure of the smaller angle? 1) 25 ° 2) 35 ° 3) 55 ° 4) 65 °​

Answer 1

1) 25 °

Explanation:

Two angles are complementary when the measure of the angles between sum up to 90°;

Given;

Angle 1 = a

Angle 2 = b

a = 15 + 2b

Angle a + Angle b = 90°

15 + 2b + b = 90

15 + 3b = 90

3b = 90 - 15

3b = 75

b = 25°