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If two lines are parallel and the transversal creates an angle of 40 degrees wit

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Question: If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the alternate exterior angle?

Options:

  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 60 degrees

Correct Answer: 140 degrees

Solution: 

Alternate exterior angles are equal, so the alternate exterior angle is also 40 degrees, making the other angle 140 degrees.

If two lines are parallel and the transversal creates an angle of 40 degrees wit

Practice Questions

Q1
If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the alternate exterior angle?
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the transversal creates an angle of 40 degrees with one of the lines, what is the measure of the alternate exterior angle?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Identify the transversal, which is a line that crosses the two parallel lines.
  • Step 3: Note that when the transversal crosses the parallel lines, it creates angles.
  • Step 4: Recognize that alternate exterior angles are the angles that are on opposite sides of the transversal and outside the parallel lines.
  • Step 5: Since the problem states that one angle created by the transversal is 40 degrees, the alternate exterior angle (which is on the opposite side of the transversal) is also equal to 40 degrees.
  • Step 6: To find the other angle that is on the same side of the transversal as the 40-degree angle, subtract 40 from 180 degrees (since they are supplementary angles). This gives you 140 degrees.
  • Alternate Exterior Angles – When two parallel lines are cut by a transversal, the alternate exterior angles are equal.
  • Transversal Angles – Angles formed when a transversal intersects two lines, including corresponding, alternate interior, and alternate exterior angles.
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