Question

∠A and \angle B∠B are vertical angles. If m\angle A=(2x+7)^{\circ}∠A=(2x+7)

∘
and m\angle B=(5x+16)^{\circ}∠B=(5x+16)
∘
, then find the measure of \angle B∠B.

Answer 1

9514 1404 393

Answer:

1°

Explanation:

Vertical angles are congruent, so they both will have the same measure:

2x +7 = 5x +16

-9 = 3x

x = -3

5x +16 = 5(-3) +16 = 1 . . . . angle B measure (degrees)

The measure of angle B is 1 degree.