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
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.