Question

A and B are complementary angles given that angle A = 1/7 of angle B calculate the value of angle B in degrees

Answer 1

Angle A and Angle B are complementary angle

⇒ Angle A + Angle B = 90º

Define x:

Let Angle B = x

Angle A = 1/7 x

Solve x:

x + 1/7x = 90

8/7 x = 90

8x = 630

x = 78.75º

Find the angles:

Angle B = x = 78.75º

Angle A = 1/7 x = 1/7 (78.75) = 11.25º

Answer: Angle A = 11.25º and Angle B = 78.75º