Question

Two angles are complementary, and Angle A is 6° more than Angle B. What is the measure of Angle A?

6°
42°
45°
48°

Answer 1

Complementary angle add up to 90 degrees.

Angle A = x + 6

Angle B = x

They both add up to 90.

x + 6 + x = 90

2x + 6 = 90

2x = 90 - 6

2x = 84

x = 84/2

x = 42

Angle A = x + 6

Angle A = 42 + 6

Angle A = 48 degrees