If angle A and angle B are same-side interior angles formed by a transversal cut

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Question: If angle A and angle B are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?

Options:

Correct Answer: They are supplementary.

Solution:

Same-side interior angles are supplementary when two parallel lines are cut by a transversal.

If angle A and angle B are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?

If angle A and angle B are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?

Step 1: Identify the two parallel lines and the transversal that cuts through them.
Step 2: Locate angle A and angle B, which are on the same side of the transversal and between the two parallel lines.
Step 3: Understand that same-side interior angles are the angles formed on the same side of the transversal.
Step 4: Remember that when two parallel lines are cut by a transversal, same-side interior angles are always supplementary.
Step 5: Conclude that the sum of angle A and angle B equals 180 degrees.

Same-Side Interior Angles – Same-side interior angles are the pairs of angles that lie on the same side of the transversal and between the two parallel lines.
Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
Transversal – A transversal is a line that intersects two or more lines at distinct points.
Parallel Lines – Parallel lines are lines in a plane that do not meet; they are always the same distance apart.