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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 50 degrees, what is the measure of angle B?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 50 degrees

Solution: 

By the Alternate Exterior Angles Theorem, alternate exterior angles are equal. Thus, angle B also measures 50 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 50 degrees, what is the measure of angle B?
  1. 50 degrees
  2. 130 degrees
  3. 90 degrees
  4. 180 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 50 degrees, what is the measure of angle B?
  • Step 1: Identify that angle A and angle B are alternate exterior angles formed by a transversal intersecting two parallel lines.
  • Step 2: Recall the Alternate Exterior Angles Theorem, which states that alternate exterior angles are equal.
  • Step 3: Since angle A measures 50 degrees, apply the theorem to conclude that angle B must also measure 50 degrees.
  • Alternate Exterior Angles Theorem – This theorem states that when a transversal intersects two parallel lines, the alternate exterior angles are equal.
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