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If angle A and angle B are alternate exterior angles formed by two parallel line

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Question: If angle A and angle B are alternate exterior angles formed by two parallel lines and a transversal, and angle A measures 45 degrees, what is the measure of angle B?

Options:

  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 45 degrees

Solution: 

Alternate exterior angles are equal, so angle B = 45 degrees.

If angle A and angle B are alternate exterior angles formed by two parallel line

Practice Questions

Q1
If angle A and angle B are alternate exterior angles formed by two parallel lines and a transversal, and angle A measures 45 degrees, what is the measure of angle B?
  1. 45 degrees
  2. 135 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle A and angle B are alternate exterior angles formed by two parallel lines and a transversal, and angle A measures 45 degrees, what is the measure of angle B?
  • Step 1: Identify that angle A and angle B are alternate exterior angles formed by two parallel lines and a transversal.
  • Step 2: Recall the property of alternate exterior angles: they are equal when the lines are parallel.
  • Step 3: Since angle A measures 45 degrees, we can conclude that angle B also measures 45 degrees.
  • Step 4: Therefore, the measure of angle B is 45 degrees.
  • Alternate Exterior Angles – When two parallel lines are cut by a transversal, the pairs of alternate exterior angles are equal.
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