One of the two inner one-sided corners with parallel straight lines and a secant is 5 times larger

One of the two inner one-sided corners with parallel straight lines and a secant is 5 times larger than the other. Find its value.

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

2. Determine the degree measure of the larger angle:

5 * x = 5x.

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:

5x + x = 180˚;

6x = 180˚;

x = 180˚: 6;

x = 30˚.

4. The degree measure of the smaller angle is x = 30˚.

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

5 * x = 5 * 30˚ = 150˚.

Answer: the degree of the smaller angle is 30˚, the degree of the larger angle is 150˚.