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

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Question: If angle A and angle B are alternate interior angles formed by a transversal intersecting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?

Options:

  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 75 degrees

Solution: 

Alternate interior angles are equal, so angle B also measures 75 degrees.

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

Practice Questions

Q1
If angle A and angle B are alternate interior angles formed by a transversal intersecting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?
  1. 75 degrees
  2. 105 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle A and angle B are alternate interior angles formed by a transversal intersecting two parallel lines, and angle A measures 75 degrees, what is the measure of angle B?
  • Step 1: Identify that angle A and angle B are alternate interior angles.
  • Step 2: Recall the property of alternate interior angles: they are equal when formed by a transversal intersecting two parallel lines.
  • Step 3: Note the measure of angle A, which is given as 75 degrees.
  • Step 4: Since angle A and angle B are equal, conclude that angle B also measures 75 degrees.
  • Alternate Interior Angles – When a transversal intersects two parallel lines, the pairs of alternate interior angles are equal.
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