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If angle A and angle B are alternate exterior angles formed by a transversal int

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Question: If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 120 degrees, what is the measure of angle B?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 120 degrees

Solution:

Alternate exterior angles are equal when a transversal intersects parallel lines. Therefore, angle B also measures 120 degrees.

If angle A and angle B are alternate exterior angles formed by a transversal int

Practice Questions

Q1
If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 120 degrees, what is the measure of angle B?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines, and angle A measures 120 degrees, what is the measure of angle B?
  • Step 1: Identify that angle A and angle B are alternate exterior angles.
  • Step 2: Recall the property of alternate exterior angles: they are equal when formed by a transversal intersecting two parallel lines.
  • Step 3: Since angle A measures 120 degrees, apply the property: angle B must also measure 120 degrees.
  • Alternate Exterior Angles – When a transversal intersects two parallel lines, alternate exterior angles are formed and are equal in measure.
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