∠A and \angle B∠B are complementary angles. If m\angle A=(x-15)^{\circ}∠A=(x−15) ∘ and m\angle B=(x+3)^{\circ}∠B=(x+3) ∘ , then find the measure of \angle B∠B.

Answer 1

Angle A measures x -15

Angle B measures x + 3

They are complementary, meaning their measures add up to 90:

x - 15 + x +3 = 90

2x - 12 = 90

2x = 102

x = 51

so Angle B = x + 3 = 51 + 3 = 54