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Two parallel lines are intersected by a transversal. If one of the corresponding

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Question: Two parallel lines are intersected by a transversal. If one of the corresponding angles is 65 degrees, what is the measure of the other corresponding angle?

Options:

  1. 65 degrees
  2. 115 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 65 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal.

Two parallel lines are intersected by a transversal. If one of the corresponding

Practice Questions

Q1
Two parallel lines are intersected by a transversal. If one of the corresponding angles is 65 degrees, what is the measure of the other corresponding angle?
  1. 65 degrees
  2. 115 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

Two parallel lines are intersected by a transversal. If one of the corresponding angles is 65 degrees, what is the measure of the other corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Understand that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
  • Step 3: Note that when two parallel lines are cut by a transversal, the corresponding angles are equal.
  • Step 4: Since one of the corresponding angles is given as 65 degrees, the other corresponding angle must also be 65 degrees.
  • Step 5: Conclude that the measure of the other corresponding angle is 65 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, the angles in matching corners (corresponding angles) are equal.
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