What are the internal one-sided angles for two parallel lines and a secant if one of them is 30 degrees less than the other?

In the case when the secant line intersects two other lines that are parallel to each other, the sum of the inner one-sided angles is 180 °.

Let the value of one angle be x °, then the other will be x ° – 30 °, then:

x + (x – 30) = 180

2 * x – 30 = 180

2 * x = 180 + 30

2 * x = 210

x = 210: 2

x = 105 °

Find the value of the second angle: x – 30 = 105 – 30 = 75 °.

Answer: The inner one-sided angles are 105 ° and 75 °, respectively.