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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 corresponding angles measures 60 degrees, what is the measure of the other corresponding angle?

Options:

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

Correct Answer: 60 degrees

Solution: 

Corresponding angles are equal when a transversal intersects two parallel lines. Therefore, the other corresponding angle is also 60 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 corresponding angles measures 60 degrees, what is the measure of the other corresponding angle?
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

A transversal intersects two parallel lines creating a pair of corresponding angles. If one of the corresponding angles measures 60 degrees, what is the measure of the other 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, the corresponding angles are equal.
  • Step 5: Since one of the corresponding angles measures 60 degrees, the other corresponding angle must also measure 60 degrees.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles that are in the same relative position at each intersection are called corresponding angles and are equal.
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