Given ∠3≅∠13, which lines, if any, must be parallel based on the given information? Justify your conclusion. 80 Points

B., Converse of the alternate interior angles theorem

Explanation:

We are given that

We have to find the lines must be parallel based on given information.

To find the parallel lines we will use the converse of alternate interior angles theorem.

The Converse of alternate interior angles theorem: When alternate interior angles are equal then the lines are parallel.

Reason: Given

Angle 3 and angle 13 are alternate interior angles

Therefore, by using the converse of alternate interior angles theorem

Line a and b are parallel.

option B is true.

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