∠A and \angle B∠B are vertical angles. If m\angle A=(3x-9)^{\circ}∠A=(3x−9) ∘ and m\angle B=(x+3)^{\circ}∠B=(x+3) ∘ , then find the value of x.

x = 6

Step-by-step explanation:

Vertical angles are congruent, thus

∠ A = ∠ B , substitute values

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

step-by-step explanation:

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.