Let's analyze the questions based on the provided image.

For angles $1$ and $2$:

The options given are:

• Same-side interior angles
• Alternate exterior angles
• Alternate interior angles
• Corresponding angles

Since angles $1$ and $2$ are on opposite sides of the transversal and both are exterior angles, they form an alternate exterior angle pair. Therefore, the correct answer for the first question is: B. Angles 1 and 2 are alternate exterior angles.

For angles $6$ and $1$:

The options given are:

• Corresponding angles
• Alternate exterior angles
• Same-side interior angles
• Alternate interior angles

In this case, angles $6$ and $1$ are on opposite sides of the transversal and on the interior of the parallel lines, forming an alternate interior angle pair. Hence, the correct answer for the second question is: D. Angles 6 and 1 are alternate interior angles.

Would you like further details on why these angle relationships are categorized this way or have any other questions?

Related Questions to Explore:

1. What are the characteristics of corresponding angles?
2. How can we identify same-side interior angles in a diagram?
3. Why are alternate interior angles congruent when lines are parallel?
4. What conditions make angles exterior or interior in relation to parallel lines?
5. How does a transversal create different types of angle pairs?

Tip:

When analyzing angles formed by a transversal across parallel lines, remember that alternate interior and alternate exterior angles are always congruent, while same-side interior angles are supplementary (sum to $180^\circ$).