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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 75 degrees, what is the measure of the other corresponding angle?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 60 degrees

Correct Answer: 75 degrees

Solution: 

Corresponding angles are equal, so the other corresponding angle is also 75 degrees.

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 75 degrees, what is the measure of the other corresponding angle?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

Two parallel lines are intersected by a transversal. If one of the corresponding angles is 75 degrees, what is the measure of the other corresponding angle?
  • Step 1: Understand that corresponding angles are angles that are in the same position on two different parallel lines when cut by a transversal.
  • Step 2: Identify that if one corresponding angle is given as 75 degrees, it means it is in the same position as another angle on the other parallel line.
  • Step 3: Recall the property of corresponding angles: they are equal when two parallel lines are intersected by a transversal.
  • Step 4: Since one corresponding angle is 75 degrees, the other corresponding angle must also be 75 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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