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If two lines are parallel and one line has an angle of 30 degrees with a transve

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Question: If two lines are parallel and one line has an angle of 30 degrees with a transversal, what is the measure of the alternate exterior angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 60 degrees
  4. 120 degrees

Correct Answer: 150 degrees

Solution:

Alternate exterior angles are equal to their corresponding angles, so the alternate exterior angle is 150 degrees.

If two lines are parallel and one line has an angle of 30 degrees with a transve

Practice Questions

Q1
If two lines are parallel and one line has an angle of 30 degrees with a transversal, what is the measure of the alternate exterior angle?
  1. 30 degrees
  2. 150 degrees
  3. 60 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and one line has an angle of 30 degrees with a transversal, what is the measure of the alternate exterior angle?
  • Alternate Exterior Angles – When two parallel lines are cut by a transversal, alternate exterior angles are equal to each other.
  • Transversal Angles – A transversal is a line that intersects two or more lines, creating various angles, including corresponding, alternate interior, and alternate exterior angles.
  • Angle Relationships – Understanding the relationships between angles formed by parallel lines and a transversal is crucial for solving problems involving angle measures.
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