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Given two parallel lines and a transversal, if one of the alternate exterior ang

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Question: Given two parallel lines and a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 120 degrees

Solution: 

Alternate exterior angles are equal when two parallel lines are cut by a transversal. Therefore, the other alternate exterior angle also measures 120 degrees.

Given two parallel lines and a transversal, if one of the alternate exterior ang

Practice Questions

Q1
Given two parallel lines and a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

Given two parallel lines and a transversal, if one of the alternate exterior angles is 120 degrees, what is the measure of the other alternate exterior angle?
  • Step 1: Identify the two parallel lines and the transversal that cuts across them.
  • Step 2: Locate the alternate exterior angles formed by the transversal and the parallel lines.
  • Step 3: Note that alternate exterior angles are equal when two parallel lines are cut by a transversal.
  • Step 4: Since one of the alternate exterior angles is given as 120 degrees, the other alternate exterior angle must also be 120 degrees.
  • Alternate Exterior Angles – When two parallel lines are intersected by a transversal, the alternate exterior angles are equal.
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