Which theorem or postulate justifies this statement? angle6 cong angle13

A. vertical angles theorem

B. alternate interior angles theorem

C. alternate exterior angles theorem

D. corresponding angles postulate

E. linear pair postulate

Answer:

C. Alternate Exterior Angles Theorem

Step-by-step explanation:

I took the test

The corresponding angles postulate and the vertical angles theorem are proving ∠6 = ∠13. Therefore, options B and D are correct answer.

From the given figure, lines GN and FH are intersecting by the line segments KL and JM.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure, we can see that

∠6 = ∠10 (Corresponding angles are congruent)

∠10 = ∠13 (Vertical angles are congruent)

Now, ∠6 = ∠10 = ∠13

The corresponding angles postulate and the vertical angles theorem are proving ∠6 = ∠13. Therefore, options B and D are correct answer.

To learn more about the vertical angles theorem visit:

https://brainly.com/question/16987080.

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