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If two parallel lines are intersected by a transversal, and one of the correspon

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Question: If two parallel lines are intersected by a transversal, and one of the corresponding angles measures 45 degrees, what is the measure of the other corresponding angle?

Options:

  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 45 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal, so the other corresponding angle also measures 45 degrees.

If two parallel lines are intersected by a transversal, and one of the correspon

Practice Questions

Q1
If two parallel lines are intersected by a transversal, and one of the corresponding angles measures 45 degrees, what is the measure of the other corresponding angle?
  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two parallel lines are intersected by a transversal, and one of the corresponding angles measures 45 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: Recognize that corresponding angles are the angles that are in the same position relative to the parallel lines and the transversal.
  • Step 3: Note that if one corresponding angle measures 45 degrees, the angle in the corresponding position on the other parallel line must also measure the same.
  • Step 4: Conclude that the other corresponding angle also measures 45 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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