Answer: Vertical angles are pairs of angles that are opposite each other and formed by two intersecting lines. Vertical angles have the same measure, so we can set the measures of the two angles equal to each other and solve for x.
We are given that:
m∠A = (5x + 5)°
m∠B = (6x - 8)°
Since ∠A and ∠B are vertical angles, we have:
m∠A = m∠B
Setting the two expressions for the measures of the angles equal to each other, we get:
5x + 5 = 6x - 8
Solving for x, we can simplify and get:
x = 13
Therefore, the value of x is 13.
Explanation: