One of two inner one-sided angles with parallel lines and a secant 60 degrees less than the other.

One of two inner one-sided angles with parallel lines and a secant 60 degrees less than the other. Find the larger of these angles.

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

2. Determine the degree measure of the larger angle:

(x + 60˚).

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

(x + 60˚) + x = 180˚;

2x + 60˚ = 180˚;

2x = 180˚ – 60˚;

2x = 120˚;

x = 120˚: 2;

x = 60˚.

4. The degree measure of the smaller angle is 60˚.

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

60˚ + 60˚ = 120˚.

Answer: The degree measure of the larger angle is 120˚.