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If two lines are parallel and a transversal intersects them, forming angles of 1

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Question: If two lines are parallel and a transversal intersects them, forming 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 because they are same-side interior angles. Thus, 120 + x = 180, leading to x = 60 degrees.

If two lines are parallel and a transversal intersects them, forming angles of 1

Practice Questions

Q1
If two lines are parallel and a transversal intersects them, forming 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

If two lines are parallel and a transversal intersects them, forming angles of 120 degrees and x degrees, what is the value of x?
  • Parallel Lines and Transversals – Understanding the relationships between angles formed when a transversal intersects parallel lines, including corresponding, alternate interior, and same-side interior angles.
  • Supplementary Angles – Recognizing that two angles are supplementary if their measures add up to 180 degrees.
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