Question

10/08 - transversals without parallel lines practice l
classify each angle - pair or select none

1. ∠5 and ∠7
2. ∠6 and ∠1
3. ∠8 and ∠3
4. ∠2 and ∠7
5. ∠3 and ∠4
6. ∠1 and ∠7
7. ∠8 and ∠6

corresponding angles (ca) same - side interior angles (ssia) same - side exterior angles (ssea) vertical angles
alternate interior angles (aia) alternate exterior angles (aea) linear pair (lp) none

Explanation:

Step1: Recall angle - pair definitions

Vertical angles are opposite each other when two lines intersect.

Step2: Analyze ∠5 and ∠7

∠5 and ∠7 are vertical angles as they are opposite each other at the intersection of two lines.

Step3: Analyze ∠6 and ∠1

They have no special angle - pair relationship among the given ones, so it's none.

Step4: Analyze ∠8 and ∠3

They have no special angle - pair relationship among the given ones, so it's none.

Step5: Analyze ∠2 and ∠7

They have no special angle - pair relationship among the given ones, so it's none.

Step6: Analyze ∠3 and ∠4

They form a linear pair as they are adjacent and their non - common sides form a straight line.

Step7: Analyze ∠1 and ∠7

They have no special angle - pair relationship among the given ones, so it's none.

Step8: Analyze ∠8 and ∠6

They are vertical angles as they are opposite each other at the intersection of two lines.

Answer:

1. Vertical Angles
2. None
3. None
4. None
5. Linear Pair
6. None
7. Vertical Angles