two interseting lines create foure angles 1 and 3 are a vertical pair their sum of their measure is equal to 68 what equation solves for the value of each angles

Answer 1

Let angle 1 be x and angle 3 be y.

Since angle 1 and angle 3 are a vertical pair, they are congruent and have the same measure. So, x = y.

Given that the sum of their measures is equal to 68, we have: x + y = 68.

Substitute y with x in the above equation: x + x = 68.

Combine like terms: 2x = 68.

Divide both sides by 2: x = 34.

Since x = y, angle 1 and angle 3 both have a measure of 34 degrees.