One of the angles that formed at the intersection of 2 straight lines are 68 ° more than the other that were formed.

1. Let’s denote the degree measure of the smaller angle through x.

2. Determine the degree measure of the larger angle:

(x + 68˚).

3. Let’s compose and solve the equation:

(x + 68˚) + x = 180˚;

x + 68˚ + x = 180˚;

2x + 68˚ = 180˚;

2x = 180˚ – 68˚;

2x = 112˚;

x = 112˚: 2;

x = 56˚.

4. The degree measure of the smaller angle is x = 56˚.

5. What is the degree measure of the larger angle?

180˚ – 56˚ = 124˚.

6. Since at the intersection of two straight lines two pairs of vertical angles are formed, then the remaining angles will be 56 соответственно and 124˚, respectively.

Answer: the degree measures formed at the intersection of the angles are 56˚, 124˚, 56˚, 124˚.