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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 exterior angle adjacent to it?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 120 degrees
  4. 90 degrees

Correct Answer: 150 degrees

Solution: 

The exterior angle adjacent to an interior angle is supplementary to it. Therefore, if the interior angle is 30 degrees, the exterior angle is 180 - 30 = 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 exterior angle adjacent to it?
  1. 30 degrees
  2. 150 degrees
  3. 120 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 exterior angle adjacent to it?
  • Supplementary Angles – Two angles are supplementary if the sum of their measures is 180 degrees.
  • Transversal and Parallel Lines – A transversal is a line that intersects two or more lines, creating various angles, including interior and exterior angles.
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