What is the sum of the measures of the same-side interior angles when two parall

Practice Questions

Q1
What is the sum of the measures of the same-side interior angles when two parallel lines are cut by a transversal?
  1. 90 degrees
  2. 180 degrees
  3. 360 degrees
  4. It varies

Questions & Step-by-Step Solutions

What is the sum of the measures of the same-side interior angles when two parallel lines are cut by a transversal?
  • Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
  • Step 2: Know what a transversal is. A transversal is a line that crosses two or more other lines.
  • Step 3: Identify same-side interior angles. These are the angles that are on the same side of the transversal and between the two parallel lines.
  • Step 4: Learn about supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
  • Step 5: Remember that when two parallel lines are cut by a transversal, the same-side interior angles are always supplementary.
  • Step 6: Conclude that the sum of the measures of the same-side interior angles is always 180 degrees.
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