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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 is 50 degrees, what is the measure of the other corresponding angle?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 50 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the other corresponding angle also measures 50 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 is 50 degrees, what is the measure of the other corresponding angle?
  1. 50 degrees
  2. 130 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 is 50 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 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 50 degrees, the other corresponding angle must also be 50 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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