Question

Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110°. What equation will solve for the value of each angle?(1 point)

__x°=__°

Answer 1

∠2 and ∠4 are vertical angles, which means they are congruent. So, if we let x represent the measure of each angle, we can write the equation:

x + x = 110°

Simplifying, we get:

2x = 110°

Dividing both sides by 2, we find:

x = 55°

Therefore, the equation that will solve for the value of each angle is:

The measure of each angle is 55°.