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

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?
  • Step 1: Identify the two parallel lines and the transversal that cuts through them.
  • Step 2: Recognize that when a transversal cuts parallel lines, it creates pairs of angles.
  • Step 3: Understand that exterior angles are the angles formed outside the parallel lines.
  • Step 4: Note that opposite exterior angles are equal to each other.
  • Step 5: Since one exterior angle is given as 120 degrees, the opposite exterior angle must also be 120 degrees.
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