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If two parallel lines are cut by a transversal and one of the corresponding angl

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Question: If two parallel lines are cut by a transversal and one of the corresponding angles is 120 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: 120 degrees

Solution: 

Corresponding angles are equal, so the other corresponding angle is also 120 degrees.

If two parallel lines are cut by a transversal and one of the corresponding angl

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the corresponding angles is 120 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

If two parallel lines are cut by a transversal and one of the corresponding angles is 120 degrees, what is the measure of the other corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that cuts across 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 one of the corresponding angles is given as 120 degrees.
  • Step 4: Remember the property of corresponding angles: they are equal when two parallel lines are cut by a transversal.
  • Step 5: Since the given corresponding angle is 120 degrees, the other corresponding angle must also be 120 degrees.
  • Corresponding Angles – When two parallel lines are cut by a transversal, the angles in matching corners (corresponding angles) are equal.
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