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In a transversal intersecting two parallel lines, if one of the interior angles

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Question: In a transversal intersecting two parallel lines, if one of the interior angles is 120 degrees, what is the measure of the corresponding angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 120 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal. Thus, the corresponding angle also measures 120 degrees.

In a transversal intersecting two parallel lines, if one of the interior angles

Practice Questions

Q1
In a transversal intersecting two parallel lines, if one of the interior angles is 120 degrees, what is the measure of the corresponding angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if one of the interior angles is 120 degrees, what is the measure of the corresponding angle?
  • Step 1: Understand that a transversal is a line that crosses two other lines.
  • Step 2: Recognize that the two lines in this question are parallel lines.
  • Step 3: Identify that when a transversal intersects parallel lines, certain angles are formed.
  • Step 4: Know that corresponding angles are the angles that are in the same position at each intersection.
  • Step 5: Since one of the interior angles is given as 120 degrees, find the corresponding angle at the other intersection.
  • Step 6: Remember that corresponding angles are equal when two parallel lines are cut by a transversal.
  • Step 7: Conclude that the measure of the corresponding angle is also 120 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, the angles in corresponding positions are equal.
  • Interior Angles – Interior angles are the angles formed on the inside of the parallel lines when intersected by a transversal.
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