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What is the measure of angle x if two parallel lines are cut by a transversal an

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Question: What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Correct Answer: 60 degrees

Solution: 

Exterior angles are supplementary to interior angles. Therefore, x = 180 - 120 = 60 degrees.

What is the measure of angle x if two parallel lines are cut by a transversal an

Practice Questions

Q1
What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?
  1. 60 degrees
  2. 120 degrees
  3. 90 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

What is the measure of angle x if two parallel lines are cut by a transversal and angle x is an exterior angle that is supplementary to an interior angle measuring 120 degrees?
  • Step 1: Understand that two parallel lines are cut by a transversal, creating various angles.
  • Step 2: Identify that angle x is an exterior angle and is supplementary to an interior angle.
  • Step 3: Recall that supplementary angles add up to 180 degrees.
  • Step 4: Note that the interior angle measures 120 degrees.
  • Step 5: Use the formula for supplementary angles: angle x + 120 degrees = 180 degrees.
  • Step 6: Solve for angle x by subtracting 120 degrees from 180 degrees: angle x = 180 - 120.
  • Step 7: Calculate the result: angle x = 60 degrees.
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