A) Two intersecting lines create four angles;

Question

L2 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)

Answer 1

Let's label the angles created by the two intersecting lines as angle 1, angle 2, angle 3, and angle 4.

Since angle 2 and angle 4 are a vertical pair, they are congruent. Let's call their measure x.

We know that the sum of the measures of angle 2 and angle 4 is equal to 110°.

So, the equation to solve for the value of each angle is:

x + x = 110

2x = 110

Dividing both sides of the equation by 2:

x = 55

Therefore, the measure of angle 2 and angle 4 is 55° each.