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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 30 degrees, what is the measure of the same-side interior angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 150 degrees

Solution:

Same-side interior angles are supplementary, so they add up to 180 degrees, making the other angle 150 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 30 degrees, what is the measure of the same-side interior angle?
  1. 30 degrees
  2. 150 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 interior angles is 30 degrees, what is the measure of the same-side interior angle?
  • Same-Side Interior Angles – Same-side interior angles are formed when a transversal intersects two parallel lines and are supplementary, meaning they add up to 180 degrees.
  • Transversal and Parallel Lines – A transversal is a line that crosses at least two other lines, and when it intersects parallel lines, it creates various angle relationships.
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