Question

Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answer 1

Answer:

alternet interior angles i think?

Step-by-step explanation:

Answer 2

Angles between transversal of parallel lines are related by several angle theorems.

The theorem that supports r || s and transversal q is (b) alternate interior angles theorem

From the image of lines q, r and s (see attachment), we have the following highlights.

Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent

The above means that:

Angles 2 and 7; angles 1 and 8, are also congruent

Hence, r || s and q is a transversal, because of the alternate interior angle theorem.

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