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Two parallel lines are cut by a transversal, creating angles of 120 degrees and

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Question: Two parallel lines are cut by a transversal, creating angles of 120 degrees and x degrees. What is the value of x?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 30 degrees

Correct Answer: 60 degrees

Solution: 

The angles formed are supplementary. Therefore, 120 + x = 180, which gives x = 60 degrees.

Two parallel lines are cut by a transversal, creating angles of 120 degrees and

Practice Questions

Q1
Two parallel lines are cut by a transversal, creating angles of 120 degrees and x degrees. What is the value of x?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

Two parallel lines are cut by a transversal, creating angles of 120 degrees and x degrees. What is the value of x?
  • Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.
  • Transversal and Parallel Lines – A transversal intersects two parallel lines, creating pairs of angles that have specific relationships, such as alternate interior angles and corresponding angles.
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