∠A and \angle B∠B are vertical angles. If m\angle A=(3x-21)^{\circ}∠A=(3x−21) ∘ and m\angle B=(2x-13)^{\circ}∠B=(2x−13) ∘ , then find the value of x

Work Shown:

Vertical angles are always congruent

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

Extra info:

Use this x value to find each angle

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Both angles A and B are 3 degrees, so this confirms the answer.