If two lines are parallel and a transversal intersects them, which of the follow

Practice Questions

Q1
If two lines are parallel and a transversal intersects them, which of the following angles are supplementary?
  1. Alternate interior angles
  2. Corresponding angles
  3. Same-side interior angles
  4. Vertical angles

Questions & Step-by-Step Solutions

If two lines are parallel and a transversal intersects them, which of the following angles are supplementary?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Know that a transversal is a line that crosses two or more other lines.
  • Step 3: Identify the angles formed when the transversal intersects the parallel lines. These angles include interior angles (inside the parallel lines) and exterior angles (outside the parallel lines).
  • Step 4: Focus on the same-side interior angles, which are the pairs of interior angles that are on the same side of the transversal.
  • Step 5: Remember that when two parallel lines are cut by a transversal, the same-side interior angles add up to 180 degrees, making them supplementary.
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