One of the one-sided corners formed at the intersection of two parallel secant lines is 4 times

One of the one-sided corners formed at the intersection of two parallel secant lines is 4 times larger than the other. Find these corners.

1. Let us denote the degree measure of the smaller of the one-sided angles by x.

2. Determine the degree measure of the larger angle:

4 * x = 4x.

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

4x + x = 180˚;

5 x = 180˚;

x = 180˚: 5;

x = 36˚.

4. The degree measure of the smaller one-sided angle is x = 36 х.

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

4 * x = 4 * 36˚ = 144˚.

Answer: the degree of the smaller angle is 36˚, the degree of the larger angle is 144˚.