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Two parallel lines are cut by a transversal. If one of the alternate interior an

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Question: Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle? (2020)

Options:

  1. 65 degrees
  2. 115 degrees
  3. 180 degrees
  4. 75 degrees

Correct Answer: 65 degrees

Exam Year: 2020

Solution: 

Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, if one angle is 65 degrees, the other alternate interior angle is also 65 degrees.

Two parallel lines are cut by a transversal. If one of the alternate interior an

Practice Questions

Q1
Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle? (2020)
  1. 65 degrees
  2. 115 degrees
  3. 180 degrees
  4. 75 degrees

Questions & Step-by-Step Solutions

Two parallel lines are cut by a transversal. If one of the alternate interior angles is 65 degrees, what is the measure of the other alternate interior angle? (2020)
  • Step 1: Identify the two parallel lines and the transversal that cuts through them.
  • Step 2: Recognize that alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines.
  • Step 3: Note that when two parallel lines are cut by a transversal, the alternate interior angles are equal.
  • Step 4: Since one of the alternate interior angles is given as 65 degrees, you can conclude that the other alternate interior angle must also be 65 degrees.
  • Alternate Interior Angles – When two parallel lines are cut by a transversal, the alternate interior angles are equal.
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