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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 60 degrees, what is the measure of the corresponding angle? (2019)

Options:

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

Correct Answer: 60 degrees

Exam Year: 2019

Solution: 

Corresponding angles are equal when a transversal intersects parallel lines. Thus, the 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 angles measures 60 degrees, what is the measure of the corresponding angle? (2019)
  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 60 degrees, what is the measure of the corresponding angle? (2019)
  • Step 1: Identify the two parallel lines that are being intersected by the transversal.
  • Step 2: Recognize that corresponding angles are formed when a transversal crosses parallel lines.
  • Step 3: Understand that corresponding angles are equal in measure.
  • Step 4: Since one of the corresponding angles measures 60 degrees, the other corresponding angle must also measure 60 degrees.
  • Step 5: Conclude that the measure of the corresponding angle is 60 degrees.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles in matching corners (corresponding angles) are equal.
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