One of the angles formed at the intersection of two straight lines is 48 ° larger than the other. Find these corners.

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

2. Determine the degree measure of the larger angle:

(x + 48˚)

3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:

(x + 48˚) + x = 180˚;

x + 48˚ + x = 180˚;

2x + 48˚ = 180˚;

2x = 180˚ – 48˚;

2x = 132˚;

x = 132˚: 2;

x = 66˚.

4. The degree measure of the smaller angle is x = 66˚.

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

x + 48˚ = 66˚ + 48˚ = 114˚.

6. As you know, the vertical angles are equal, so the large angles formed at the intersection of two straight lines will be equal to 114˚, and the smaller angles will be equal to 68˚.

Answer: the degree measures of the angles formed at the intersection of two straight lines are equal to 114˚, 68˚, 114˚, 68˚.