Question

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? (1 point)

Answer 1

Let's denote the measures of angles 1 and 3 as x and y, respectively.
According to the problem, angle 1 and angle 3 are a vertical pair, so they are congruent.
Therefore, x = y.
The sum of their measures is equal to 68°, so we can write the equation as:
x + y = 68
Since x = y, we can substitute y for x in the equation:
x + x = 68
2x = 68
Divide both sides of the equation by 2:
x = 34
Therefore, each angle has a measure of 34°.