If a transversal intersects two parallel lines, what can be said about the same-
Practice Questions
Q1
If a transversal intersects two parallel lines, what can be said about the same-side interior angles? (2023)
They are equal
They are supplementary
They are complementary
They are unequal
Questions & Step-by-Step Solutions
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.
