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If two parallel lines are cut by a transversal and one of the alternate interior

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Question: If two parallel lines are cut by a transversal and one of the alternate interior angles is 55 degrees, what is the measure of the other alternate interior angle?

Options:

  1. 55 degrees
  2. 125 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 55 degrees

Solution:

By the Alternate Interior Angles Theorem, alternate interior angles are equal, so the other angle also measures 55 degrees.

If two parallel lines are cut by a transversal and one of the alternate interior

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the alternate interior angles is 55 degrees, what is the measure of the other alternate interior angle?
  1. 55 degrees
  2. 125 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 alternate interior angles is 55 degrees, what is the measure of the other alternate interior angle?
  • Alternate Interior Angles Theorem – This theorem states that when two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal.
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