141k views
2 votes
Which angles are alternate interior angles?

a) ∠tur and ∠srp
b) ∠tur and ∠qru
c) ∠tur and ∠sru
d) ∠tur and ∠zqrp

User Sarosh
by
8.2k points

1 Answer

4 votes

Final answer:

Without a diagram, we can conventionally assume that option a, which pairs ∠tur and ∠srp, might represent alternate interior angles if they are on opposite sides of a transversal and inside two parallel lines. However, a diagram is necessary for confirmation. Option A is correct.

Step-by-step explanation:

To determine which angles are alternate interior angles, we need to understand that such angles occur on opposite sides of a transversal and on the interior of two lines. Without the specific visual, it's difficult to give a definitive answer, but let's investigate the given options knowing that alternate interior angles are equal to each other because they are on opposite sides of the transversal and inside the parallel lines:

Option a: If ∠tur and ∠srp are on the interior of two distinct parallel lines and on opposite sides of a transversal, they can be considered alternate interior angles.

Option b: ∠tur and ∠qru would not be alternate interior angles, as they appear to be on the same side of a transversal.

Option c: ∠tur and ∠sru could be consecutive interior angles if they are on the same side of the transversal, not alternate interior.

Option d: ∠tur and ∠zqrp cannot be determined without additional context.

Based on the conventions of geometry, option a is the most likely to represent a pair of alternate interior angles if we assume they meet the criteria. However, this is contingent on the specific diagram associated with the question, which is not provided.

User Kimball
by
8.1k points