A) Two intersecting lines create four angles;

Question

<1 and
<3 are a vertical pair. Their sum of their measures is equal to 68°. What equation solves for the value of each angle?

Answer 1

Since <1 and <3 are a vertical pair, they are congruent, meaning they have the same measure.

Let x represent the measure of both <1 and <3.

The sum of their measures is given as 68°.

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

x + x = 68°

Simplifying the equation:

2x = 68°

Dividing both sides of the equation by 2:

x = 34°

Therefore, each angle, <1 and <3, has a measure of 34°.