Two interesting lines create four angles 1 and 3 are a vertical pair. Their sum of their measures is equal to 68 degree. What equation solves for the value of each angle

1 answer

Let's denote the measures of angles 1 and 3 as x and y, respectively.

According to the given information, angles 1 and 3 are a vertical pair. This means they are opposite each other and have equal measures. Therefore, x = y.

The sum of their measures is equal to 68 degrees. This can be expressed as x + y = 68.

Since x = y, we can substitute y for x in the equation:

x + x = 68
2x = 68
x = 34

Therefore, the measure of angle 1 (x) is 34 degrees, and the measure of angle 3 (y) is also 34 degrees.