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

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Question: What is the sum of the measures of the same-side interior angles when two parallel lines are cut by a transversal?

Options:

Correct Answer: 180 degrees

Solution:

Same-side interior angles are supplementary, so their sum is always 180 degrees.

What is the sum of the measures of the same-side interior angles when two parallel lines are cut by a transversal?

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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