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If two parallel lines are cut by a transversal and one of the exterior angles is

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Question: If two parallel lines are cut by a transversal and one of the exterior angles is 130 degrees, what is the measure of the corresponding interior angle?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 70 degrees

Correct Answer: 70 degrees

Solution:

Exterior angles and corresponding interior angles are supplementary. Thus, the corresponding interior angle is 180 - 130 = 50 degrees.

If two parallel lines are cut by a transversal and one of the exterior angles is

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the exterior angles is 130 degrees, what is the measure of the corresponding interior angle?
  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 70 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the exterior angles is 130 degrees, what is the measure of the corresponding interior angle?
  • Exterior and Interior Angles – Understanding the relationship between exterior angles and corresponding interior angles when two parallel lines are cut by a transversal.
  • Supplementary Angles – Recognizing that exterior angles and corresponding interior angles are supplementary, meaning they add up to 180 degrees.
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