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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 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 also measures 45 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 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 a transversal intersecting two parallel lines, and angle A measures 45 degrees, what is the measure of angle B?
  • Step 1: Identify the two parallel lines and the transversal that intersects them.
  • Step 2: Locate angle A and angle B, which are the alternate exterior angles formed by the transversal.
  • Step 3: Note the measure of angle A, which is given as 45 degrees.
  • Step 4: Recall the property of alternate exterior angles: they are equal when formed by a transversal intersecting parallel lines.
  • Step 5: Since angle A is 45 degrees, angle B must also be 45 degrees.
  • Alternate Exterior Angles – When a transversal intersects two parallel lines, the pairs of alternate exterior angles are equal.
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