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A transversal intersects two parallel lines creating a pair of corresponding ang

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Question: A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the angles measures 120 degrees, what is the measure of the corresponding angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Correct Answer: 120 degrees

Solution: 

Corresponding angles are equal when a transversal intersects two parallel lines. Therefore, the corresponding angle also measures 120 degrees.

A transversal intersects two parallel lines creating a pair of corresponding ang

Practice Questions

Q1
A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the angles measures 120 degrees, what is the measure of the corresponding angle?
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the angles measures 120 degrees, what is the measure of the corresponding angle?
  • Step 1: Understand that a transversal is a line that crosses two other lines.
  • Step 2: Recognize that the two lines being crossed are parallel lines.
  • Step 3: Identify that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
  • Step 4: Note that when a transversal intersects two parallel lines, corresponding angles are equal.
  • Step 5: Since one of the corresponding angles measures 120 degrees, the other corresponding angle must also measure 120 degrees.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles in matching corners (corresponding angles) are equal.
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