∠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

When two angles are complementary, then the sum of their measures = 90°

m<A =( x –15) ° and m <B =( x + 3) °.

Set up an equation: ( x –15) ° + ( x + 3) ° = 90 °

Solve for x:

x –15 + x + 3 = 90 simplify

2x - 12 = 90

2x = 102

x = 51

m < B = x + 3 = 51 + 3 = 54°

Answer 2

Complementary asngles have measures that add to 90°.

Use this fo formulate an equation and solve for x and answer.