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If two lines are parallel and the angle formed by one line and a transversal is

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Question: If two lines are parallel and the angle formed by one line and a transversal is 45 degrees, what is the measure of the alternate exterior angle?

Options:

  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 45 degrees

Solution:

Alternate exterior angles are equal when two parallel lines are cut by a transversal. Therefore, the alternate exterior angle also measures 45 degrees.

If two lines are parallel and the angle formed by one line and a transversal is

Practice Questions

Q1
If two lines are parallel and the angle formed by one line and a transversal is 45 degrees, what is the measure of the alternate exterior angle?
  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the angle formed by one line and a transversal is 45 degrees, 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.
  • Transversal – A line that intersects two or more lines at different points.
  • Parallel Lines – Lines in a plane that do not meet; they are always the same distance apart.
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