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In a transversal intersecting two parallel lines, if one of the corresponding an

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Question: In a transversal intersecting two parallel lines, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 75 degrees

Solution: 

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

In a transversal intersecting two parallel lines, if one of the corresponding an

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one of the corresponding angles measures 75 degrees, what is the measure of the other corresponding angle?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the corresponding angles measures 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 at each intersection when a transversal crosses two parallel lines.
  • Step 2: Identify that if one corresponding angle measures 75 degrees, the angle in the same position on the other parallel line must also measure the same.
  • Step 3: Conclude that since corresponding angles are equal, the other corresponding angle also measures 75 degrees.
  • Corresponding Angles – When a transversal intersects two parallel lines, the angles in matching corners (corresponding angles) are equal.
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