A) Two intersecting lines create four angles;
<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?
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°.