Two intersecting lines, create four angles angle, one and angle three are vertical pair. There's some of their measures is equal to 68 which equation solves the value of each angle.

Answer 1

Let's call the angles angle 1, angle 2, angle 3, and angle 4.
We know that angle 1 and angle 3 are a vertical pair, which means they are congruent (equal).

Since the sum of the measures of angle 1 and angle 3 is equal to 68, we can write the equation:
angle 1 + angle 3 = 68

Since angle 1 and angle 3 are congruent, we can represent their measure with the same variable.
Let's say angle 1 = angle 3 = x.

So, the equation becomes:
x + x = 68
2x = 68
Divide both sides of the equation by 2:
x = 34

Therefore, the measure of angle 1 (angle 3) is 34 degrees.