https://file.aiquickdraw.com/mathbot/file/17298757029173fqn7ny7.jpg

The question in the image asks:

"If two parallel lines are cut by a transversal, then the same-side interior angles are complementary."

The correct answer is **False**.

Explanation: When two parallel lines are cut by a transversal, the same-side interior angles (also called consecutive interior angles) are **supplementary**, not complementary. This means their sum is \(180^\circ\), not \(90^\circ\).

Would you like more details or have any other questions?

Here are 5 related questions:
1. What are alternate interior angles, and how do they relate to parallel lines?
2. What is the sum of the corresponding angles when two parallel lines are cut by a transversal?
3. How can we prove that same-side interior angles are supplementary?
4. Can you give an example of two non-parallel lines cut by a transversal and the effect on angles?
5. What is the difference between complementary and supplementary angles?

**Tip**: Remember, "complementary" means two angles add up to \(90^\circ\), while "supplementary" means they add up to \(180^\circ\).

If two parallel lines are cut by a transversal, then the same-side interior angles are complimentary.

Understand why same-side interior angles are supplementary, not complementary, when two parallel lines are cut by a transversal. This topic covers angle relationships and the parallel line theorem, suitable for students in Grades 7-9.

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