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If two parallel lines are cut by a transversal and one of the same-side interior

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Question: If two parallel lines are cut by a transversal and one of the same-side interior angles is 120 degrees, what is the measure of the other same-side interior angle?

Options:

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

Correct Answer: 60 degrees

Solution: 

Same-side interior angles are supplementary, so 180 - 120 = 60 degrees.

If two parallel lines are cut by a transversal and one of the same-side interior

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the same-side interior angles is 120 degrees, what is the measure of the other same-side interior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the same-side interior angles is 120 degrees, what is the measure of the other same-side interior angle?
  • Step 1: Understand that same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines.
  • Step 2: Remember that same-side interior angles are supplementary, which means they add up to 180 degrees.
  • Step 3: You are given one same-side interior angle, which is 120 degrees.
  • Step 4: To find the measure of the other same-side interior angle, subtract the given angle from 180 degrees: 180 - 120.
  • Step 5: Calculate the result: 180 - 120 = 60 degrees.
  • Step 6: Conclude that the measure of the other same-side interior angle is 60 degrees.
  • Same-Side Interior Angles – When two parallel lines are cut by a transversal, the same-side interior angles are supplementary, meaning they add up to 180 degrees.
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