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In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, wha

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Question: In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, what is the measure of angle 6, which is a same-side interior angle?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 30 degrees

Solution: 

Same-side interior angles are supplementary, so 180 - 150 = 30 degrees.

In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, wha

Practice Questions

Q1
In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, what is the measure of angle 6, which is a same-side interior angle?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a transversal intersecting two parallel lines, if angle 5 is 150 degrees, what is the measure of angle 6, which is a same-side interior angle?
  • Step 1: Identify that angle 5 is given as 150 degrees.
  • Step 2: Understand that angle 6 is a same-side interior angle to angle 5.
  • Step 3: Recall that same-side interior angles are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find angle 6, subtract the measure of angle 5 from 180 degrees: 180 - 150.
  • Step 5: Calculate the result: 180 - 150 = 30 degrees.
  • Step 6: Conclude that the measure of angle 6 is 30 degrees.
  • Transversal and Parallel Lines – Understanding the relationship between angles formed when a transversal intersects parallel lines, specifically same-side interior angles.
  • Supplementary Angles – Recognizing that same-side interior angles are supplementary, meaning their measures add up to 180 degrees.
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