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If two parallel lines are intersected by a transversal and one of the exterior a

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Question: If two parallel lines are intersected by a transversal and one of the exterior angles is 120 degrees, what is the measure of the corresponding interior angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 60 degrees

Solution: 

The corresponding interior angle is equal to 180 - 120 = 60 degrees.

If two parallel lines are intersected by a transversal and one of the exterior a

Practice Questions

Q1
If two parallel lines are intersected by a transversal and one of the exterior angles is 120 degrees, what is the measure of the corresponding interior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are intersected by a transversal and one of the exterior angles is 120 degrees, what is the measure of the corresponding interior angle?
  • Step 1: Understand that when two parallel lines are cut by a transversal, several angles are formed.
  • Step 2: Identify the exterior angle given in the question, which is 120 degrees.
  • Step 3: Recall that the corresponding interior angle is supplementary to the exterior angle. This means they add up to 180 degrees.
  • Step 4: To find the corresponding interior angle, subtract the exterior angle from 180 degrees: 180 - 120.
  • Step 5: Calculate the result: 180 - 120 = 60 degrees.
  • Step 6: Conclude that the measure of the corresponding interior angle is 60 degrees.
  • Parallel Lines and Transversals – Understanding the relationships between angles formed when a transversal intersects parallel lines, including corresponding angles, alternate interior angles, and exterior angles.
  • Angle Relationships – Knowledge of how to calculate angles based on their relationships, such as supplementary angles (angles that add up to 180 degrees).
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