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The figure below shows parallel lines cut by a transversal:

A pair of parallel lines is shown, cut by a transversal. Angle 1 is located in the upper right exterior corner on the top line, and angle 2 is located in the upper right corner of the bottom line.

Which statement is true about ∠1 and ∠2?

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

2 Answers

4 votes
∠1 and ∠2 are congruent because they are a pair of corresponding angles.
User Wingblade
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2 votes

Answer:

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

Explanation:

The position described is for corresponding angles: one in the upper right exterior corner and another in the upper right corner in the bottom line, one exterior to the parallels and the another one interior to the parallels; that specific position makes them congruent.

In addition, the specific characteristic to call these angles congruent, besides their position, it's that there have to be a pair of parallels intersected by a transversal. If it's not a parallel, those angles are not corresponding angles, and are not congruent.

(An image is attached)

The figure below shows parallel lines cut by a transversal: A pair of parallel lines-example-1
User Ahmad Nadeem
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6.9k points
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