If angle 1 and angle 2 are same-side interior angles formed by a transversal cut

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Question: If angle 1 and angle 2 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, so they add up to 180°.

If angle 1 and angle 2 are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?

If angle 1 and angle 2 are same-side interior angles formed by a transversal cutting two parallel lines, what is their relationship?

Step 1: Identify the two parallel lines that are being cut by a transversal (a line that crosses them).
Step 2: Locate angle 1 and angle 2, which are on the same side of the transversal and between the two parallel lines.
Step 3: Understand that same-side interior angles are formed when a transversal intersects two parallel lines.
Step 4: Remember the property of same-side interior angles: they are supplementary.
Step 5: Conclude that this means angle 1 plus angle 2 equals 180 degrees.

Same-Side Interior Angles – Angles that are on the same side of a transversal and between two parallel lines, which are supplementary.