The difference between two internal one-sided angles at the intersection of two parallel

The difference between two internal one-sided angles at the intersection of two parallel secant lines is 30 degrees. 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 + 30˚).

3. Since the sum of internal one-sided angles at the intersection of two parallel straight lines is equal to 180˚, we compose and solve the equation:

(x + 30˚) + x = 180˚;

x + 30˚ + x = 180˚;

2x + 30˚ = 180˚;

2x = 180˚ – 30˚;

2x = 150˚;

x = 150˚: 2;

x = 75˚.

4. The degree measure of the smaller angle is x = 75˚.

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

x + 30˚ = 75˚ + 30˚ = 105˚.

Answer: The degree of the smaller angle is 75˚, the degree of the larger angle is 105˚.