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?
February 13, 2021 | education
| 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.
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