To solve this problem, we need to identify the types of angle pairs in each of the given choices:

1. Angle Pair Analysis:

• ∠1 and ∠16: These angles are on opposite sides of the transversal and lie outside the two parallel lines. They are Alternate Exterior Angles.
• ∠20 and ∠2: These angles are in corresponding positions relative to the transversal and the parallel lines. They are Corresponding Angles.
• ∠10 and ∠21: These angles are opposite each other at the intersection, making them Vertical Angles.
• ∠14 and ∠15: These angles are on the same side of the transversal and inside the parallel lines. They are Same Side Interior Angles.

2. Matching Answers:

• ∠1 and ∠16 → Alternate Exterior
• ∠20 and ∠2 → Corresponding
• ∠10 and ∠21 → Vertical
• ∠14 and ∠15 → Same Side Interior

Would you like further details on any of these angle relationships, or have any other questions?

Here are 5 related questions to expand your understanding:

1. What are other examples of alternate exterior angles in this figure?
2. How do corresponding angles help in proving lines are parallel?
3. Can you identify another pair of vertical angles in the diagram?
4. How are same side interior angles useful in determining angle measures?
5. Why are alternate interior angles congruent when lines are parallel?

Tip: When analyzing angle pairs formed by parallel lines and a transversal, always look for key features like position relative to the lines and the transversal.