Converse of alternate exterior angles theorem

Asked by maham237 @ in Chemistry viewed by 263 People

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In the diagram, the lines dividing the parking spaces are parallel. What must be true about 1 and 22? What theorem
supports your conclusion?
A. 21 and 22 are supplementary; alternate exterior angles theorem
B. 21 22; alternate exterior angles theorem
C. 21 and 22 are supplementary; consecutive exterior angles theorem
D. Z1 Z2; consecutive exterior angles theorem
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Answered by maham237 @


Answer:

B. ∠1 ≅ ∠2; alternate interior angles theorem

Explanation:

Assume the diagram is like the one below.

The blue lines are parallel, and the red line is a transversal.

∠s 1 and 2 are between the parallel lines but on opposite sides of the transversal.

They are alternate interior angles.

Pairs of alternate interior angles are congruent.

A. is wrong. Alternate interior angles are congruent.

C. is wrong. Consecutive exterior angles are outside the parallel lines and on the same side of the transversal. They are like the two angles marked with a blue x. They are supplementary.

D is wrong. Consecutive exterior angles are supplementary.


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