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If angle 1 and angle 2 are same-side interior angles formed by two parallel line

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Question: If angle 1 and angle 2 are same-side interior angles formed by two parallel lines cut by a transversal, and angle 1 measures 70 degrees, what is the measure of angle 2?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 110 degrees

Solution: 

Same-side interior angles are supplementary, so angle 2 = 180 - 70 = 110 degrees.

If angle 1 and angle 2 are same-side interior angles formed by two parallel line

Practice Questions

Q1
If angle 1 and angle 2 are same-side interior angles formed by two parallel lines cut by a transversal, and angle 1 measures 70 degrees, what is the measure of angle 2?
  1. 70 degrees
  2. 110 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle 1 and angle 2 are same-side interior angles formed by two parallel lines cut by a transversal, and angle 1 measures 70 degrees, what is the measure of angle 2?
  • Step 1: Identify that angle 1 and angle 2 are same-side interior angles formed by two parallel lines cut by a transversal.
  • Step 2: Recall that same-side interior angles are supplementary, which means they add up to 180 degrees.
  • Step 3: Since angle 1 measures 70 degrees, we can find angle 2 by subtracting angle 1 from 180 degrees.
  • Step 4: Calculate angle 2: 180 degrees - 70 degrees = 110 degrees.
  • Step 5: Conclude that the measure of angle 2 is 110 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.
  • Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
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