Two intersecting lines create four angles 1 and 3 are a vertical pair. There are some of their measures is equal to 68. what equation cells for the value of each angle?

Answer 1

Let x be the measure of angle 1.
Since angles 1 and 3 are vertical angles, they are congruent, so the measure of angle 3 is also x.

The sum of the measures of angles on a straight line is 180 degrees.
Therefore, the sum of angles 1 and 2 is 180 degrees.

So, the equation to represent this relationship is:
x + x = 68

Simplifying the equation:
2x = 68
x = 34

Therefore, the measure of angle 1 and angle 3 is 34 degrees each.