If two lines are parallel and a transversal creates an angle of 40°, what is the

Practice Questions

Q1
If two lines are parallel and a transversal creates an angle of 40°, what is the measure of the alternate exterior angle?
  1. 40°
  2. 140°
  3. 180°
  4. 80°

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal creates an angle of 40°, 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: Recognize that when the transversal crosses the parallel lines, it creates angles.
  • Step 4: Note that alternate exterior angles are the angles that are on opposite sides of the transversal and outside the parallel lines.
  • Step 5: Remember that alternate exterior angles are equal when two lines are parallel.
  • Step 6: Since the angle created by the transversal is 40°, the alternate exterior angle is also 40°.
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