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In a pair of parallel lines cut by a transversal, if one of the same-side interi

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Question: In a pair of parallel lines cut by a transversal, if one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 105 degrees

Solution: 

Same-side interior angles are supplementary when two parallel lines are cut by a transversal. Therefore, the other angle measures 180 - 75 = 105 degrees.

In a pair of parallel lines cut by a transversal, if one of the same-side interi

Practice Questions

Q1
In a pair of parallel lines cut by a transversal, if one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a pair of parallel lines cut by a transversal, if one of the same-side interior angles is 75 degrees, what is the measure of the other same-side interior angle?
  • 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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