Question: Two lines are parallel, and a transversal intersects them, creating angles of 75 degrees and x degrees. What is the value of x?
Options:
75 degrees
105 degrees
180 degrees
90 degrees
Correct Answer: 105 degrees
Solution:
The angles are supplementary, so x = 180 - 75 = 105 degrees.
Two lines are parallel, and a transversal intersects them, creating angles of 75
Practice Questions
Q1
Two lines are parallel, and a transversal intersects them, creating angles of 75 degrees and x degrees. What is the value of x?
75 degrees
105 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
Two lines are parallel, and a transversal intersects them, creating angles of 75 degrees and x degrees. What is the value of x?
Parallel Lines and Transversals – When a transversal intersects two parallel lines, it creates pairs of angles that are either corresponding, alternate interior, or supplementary.
Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.
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