Algebra 1 ?????????????

Question

The measure of <B is 20 degree more than its complement . What is the measure of <B?

Answer 1

Let the compliment be x

Given that ∠B is 20 degree more than its compliment =>  ∠B = x + 20

Sum of the angle and its compliment angle is 90

                              => x + x + 20 = 90

                              => 2x = 90 - 20

                              => 2x = 70

                              => x = 70/2

                                       = 35 degrees

Therefore ∠B = x + 20

                       = 35 + 20

                       = 55 degrees

Therefore ∠B = 55 degrees.