Answer:
x = -34
Explanation:
The Vertical Angles Theorem states that when two lines intersect, the pairs of opposite (vertical) angles formed are congruent.
Given that ∠A and ∠B are vertical angles, then m∠A ≅ m∠B.
To find the value of x, set the given expressions for ∠A and ∠B equal to each other, and solve for x.
Therefore, the value of x is -34.
Additional comments
If x = -34, the measure of angle A and angle B is -220. In everyday geometric problems, you will typically encounter non-negative angles, however, in some advanced mathematical or physics contexts, a negative angle would represent a clockwise rotation, while a positive angle represents a counterclockwise rotation.