Question

parallel lines & special angles practice
2 of 16
for each angle pair, choose the correct name for the pair from the first dropdown and choose the correct transversal from the second dropdown if possible. if not, choose n/a.
∠1 & ∠15 name: transversal:
∠11 & ∠9 name: transversal:
∠6 & ∠12 name: transversal:
∠8 & ∠5 name: transversal:
∠7 & ∠12 name: transversal:

Explanation:

Step1: Recall angle - pair definitions

When two parallel lines are cut by a transversal, different types of angle - pairs are formed such as corresponding, alternate interior, alternate exterior, and vertical angles.

Step2: Analyze ∠1 & ∠15

∠1 and ∠15 are corresponding angles. The transversal is line \(c\).

Step3: Analyze ∠11 & ∠9

∠11 and ∠9 are vertical angles. There is no single transversal for vertical angles, so transversal is N/A.

Step4: Analyze ∠6 & ∠12

∠6 and ∠12 are alternate interior angles. The transversal is line \(b\).

Step5: Analyze ∠8 & ∠5

∠8 and ∠5 are vertical angles. There is no single transversal for vertical angles, so transversal is N/A.

Step6: Analyze ∠7 & ∠12

∠7 and ∠12 are alternate exterior angles. The transversal is line \(b\).

Answer:

∠1 & ∠15: Name: Corresponding angles, Transversal: \(c\)
∠11 & ∠9: Name: Vertical angles, Transversal: N/A
∠6 & ∠12: Name: Alternate interior angles, Transversal: \(b\)
∠8 & ∠5: Name: Vertical angles, Transversal: N/A
∠7 & ∠12: Name: Alternate exterior angles, Transversal: \(b\)