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If angle A and angle B are same-side interior angles formed by a transversal int

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Question: If angle A and angle B are same-side interior angles formed by a transversal intersecting two parallel lines, and angle A measures 65 degrees, what is the measure of angle B?

Options:

  1. 115 degrees
  2. 65 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 115 degrees

Solution: 

Same-side interior angles are supplementary. Therefore, angle B = 180 - 65 = 115 degrees.

If angle A and angle B are same-side interior angles formed by a transversal int

Practice Questions

Q1
If angle A and angle B are same-side interior angles formed by a transversal intersecting two parallel lines, and angle A measures 65 degrees, what is the measure of angle B?
  1. 115 degrees
  2. 65 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle A and angle B are same-side interior angles formed by a transversal intersecting two parallel lines, and angle A measures 65 degrees, what is the measure of angle B?
  • Step 1: Understand that angle A and angle B are same-side interior angles formed by a transversal intersecting two parallel lines.
  • Step 2: Know that same-side interior angles are supplementary, which means they add up to 180 degrees.
  • Step 3: Since angle A measures 65 degrees, we can find angle B by subtracting angle A from 180 degrees.
  • Step 4: Calculate angle B: 180 degrees - 65 degrees = 115 degrees.
  • Step 5: Conclude that the measure of angle B is 115 degrees.
  • Same-side Interior Angles – Same-side interior angles are formed when a transversal intersects two parallel lines, and they are supplementary, meaning their measures add up to 180 degrees.
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