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If two parallel lines are cut by a transversal and one of the angles formed is 1

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

Options:

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

Correct Answer: 30 degrees

Solution: 

Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, the alternate interior angle measures 30 degrees (180 - 150).

If two parallel lines are cut by a transversal and one of the angles formed is 1

Practice Questions

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

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the angles formed is 150 degrees, what is the measure of the alternate interior angle?
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the alternate interior angles are equal.
  • Supplementary Angles – Angles that add up to 180 degrees, which is relevant when determining the measure of angles formed by a transversal.
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