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If two parallel lines are cut by a transversal and one of the interior angles is

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Question: If two parallel lines are cut by a transversal and one of the interior angles is 110 degrees, what is the measure of the other interior angle on the same side?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 130 degrees
  4. 90 degrees

Correct Answer: 130 degrees

Solution: 

Same-side interior angles are supplementary, so the other angle is 180 - 110 = 70 degrees.

If two parallel lines are cut by a transversal and one of the interior angles is

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the interior angles is 110 degrees, what is the measure of the other interior angle on the same side?
  1. 70 degrees
  2. 110 degrees
  3. 130 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the interior angles is 110 degrees, what is the measure of the other interior angle on the same side?
  • Step 1: Understand that two parallel lines are cut by a transversal, creating several angles.
  • Step 2: Identify that the angle given is 110 degrees and it is one of the interior angles.
  • Step 3: Recall that same-side interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the other same-side interior angle, subtract the given angle from 180 degrees: 180 - 110.
  • Step 5: Calculate the result: 180 - 110 = 70 degrees.
  • Step 6: Conclude that the measure of the other interior angle on the same side is 70 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.
  • Transversal – A transversal is a line that intersects two or more lines at distinct points, creating various angle relationships.
  • Supplementary Angles – Two angles are supplementary if the sum of their measures is 180 degrees.
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