The worksheet you're working on is about identifying different types of angles created by parallel lines cut by a transversal. Here's how we can approach it.

The goal is to:

1. Identify the pair of angles as one of the following:

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

2. Determine whether the angles are congruent (equal in measure) or supplementary (sum to 180 degrees).

Let me guide you through each number on the worksheet:

1. Identify the pair of angles:

• Same-side interior angles
• Supplementary

2. Identify the pair of angles:

• Alternate exterior angles
• Congruent

3. Identify the pair of angles:

• Same-side interior angles
• Supplementary

4. Identify the pair of angles:

• Alternate interior angles
• Congruent

5. Identify the pair of angles:

• Corresponding angles
• Congruent

6. Identify the pair of angles:

• Vertical angles
• Congruent

For the rest (7–12), the same logic applies, and you'd need to categorize them similarly.

Would you like further breakdowns for questions 7–12, or need help with the concepts?

Here are 5 questions you could try:

1. How can we identify corresponding angles when two lines are cut by a transversal?
2. Why are alternate interior angles always congruent when lines are parallel?
3. What are the differences between adjacent and vertical angles?
4. Can two angles be both adjacent and congruent at the same time? Why or why not?
5. How do we prove that same-side interior angles are supplementary?

Tip:

Whenever you see a transversal line cutting parallel lines, remember that all corresponding angles are congruent, and same-side interior angles are always supplementary!