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

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Question: If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the alternate interior angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 30 degrees

Solution: 

The alternate interior angle is supplementary to the exterior angle, so it measures 30 degrees.

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

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the alternate interior angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the alternate interior angle?
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, alternate interior angles are equal and are located on opposite sides of the transversal.
  • Exterior Angles – An exterior angle is formed when a transversal crosses two lines, and it is supplementary to the adjacent interior angle.
  • Supplementary Angles – Two angles are supplementary if the sum of their measures is 180 degrees.
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