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The figure below shows parallel lines cut by a transversal:

A pair of parallel lines is shown with arrowheads on each end. A transversal cuts through these two lines. An angle formed between the top parallel line and the transversal on the inner left side is marked 1. Another angle formed between the bottom parallel line and the transversal on the inner right side is marked 2.

Which statement is true about ∠1 and ∠2?

∠1 and ∠2 are congruent because they are a pair of adjacent angles.
∠1 and ∠2 are complementary because they are a pair of adjacent angles.
∠1 and ∠2 are congruent because they are a pair of alternate interior angles.
∠1 and ∠2 are complementary because they are a pair of alternate interior angles.

The figure below shows parallel lines cut by a transversal A pair of parallel lines is shown with arrowheads on each end A transversal cuts through these two li class=

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clairebear11213
Angles 1 and 2 are congruent because they are a pair of alternate interior angles.

Answer:

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Step-by-step explanation:

Given a pair of parallel lines which are cut by traversal line as shown in figure.

∠1 and ∠2 are shown in figure.

we have to find the relation between ∠1 and ∠2

∠1 and ∠2 angles are formed on opposite sides of the traversal and are on the inner side of the two parallel lines are alternate interior angles.

By the theorem

If two lines are parallel then the alternate interior angles are equal i.e

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Option 3 is correct.

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