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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 measures 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. Therefore, 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 measures 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 measures 120 degrees, what is the measure of the corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate the interior angle that measures 120 degrees.
  • Step 3: Understand that corresponding angles are angles that are in the same position relative to the parallel lines and the transversal.
  • Step 4: Recall that when two parallel lines are cut by a transversal, corresponding angles are equal.
  • Step 5: Since the given interior angle measures 120 degrees, the corresponding angle must also measure 120 degrees.
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