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If two parallel lines are cut by a transversal and one of the exterior angles me

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Question: If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the adjacent exterior angle?

Options:

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

Correct Answer: 30 degrees

Solution: 

Adjacent exterior angles are supplementary, so the adjacent exterior angle measures 180 - 150 = 30 degrees.

If two parallel lines are cut by a transversal and one of the exterior angles me

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the adjacent exterior angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the adjacent exterior angle?
  • Exterior Angles – Exterior angles are formed when a transversal intersects two parallel lines, and they are related to each other through supplementary relationships.
  • Supplementary Angles – Two angles are supplementary if the sum of their measures is 180 degrees.
  • Transversal – A transversal is a line that intersects two or more lines at distinct points, creating various angle relationships.
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