Question

A and B are complementary angles. If A = (x – 23)° and m

B = (2x + 29)°, then find the measure of B.

Answer 1

∠ B = 85°

Explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°