If a transversal intersects two parallel lines, what can be said about the same-

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Question: If a transversal intersects two parallel lines, what can be said about the same-side interior angles? (2023)

Options:

Correct Answer: They are supplementary

Exam Year: 2023

Solution:

When a transversal intersects two parallel lines, the same-side interior angles are supplementary, meaning they add up to 180 degrees.

If a transversal intersects two parallel lines, what can be said about the same-side interior angles? (2023)

If a transversal intersects two parallel lines, what can be said about the same-side interior angles? (2023)

Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify the two parallel lines. Parallel lines are lines that never meet and are always the same distance apart.
Step 3: Draw the transversal intersecting the two parallel lines. This will create angles at the points where the transversal crosses the parallel lines.
Step 4: Locate the same-side interior angles. These are the angles that are on the same side of the transversal and between the two parallel lines.
Step 5: Remember the property of same-side interior angles. When a transversal crosses two parallel lines, the same-side interior angles are always supplementary.
Step 6: Conclude that supplementary means these angles add up to 180 degrees.

Transversal and Parallel Lines – When a transversal crosses two parallel lines, it creates various angle relationships, including same-side interior angles.
Supplementary Angles – Same-side interior angles formed by a transversal intersecting parallel lines are supplementary, meaning their measures add up to 180 degrees.