Which of the following pairs of angles are alternate exterior angles?

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∠3 and ∠6

∠4 and ∠5

∠4 and ∠6

∠3 and ∠4

answer is A.

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Detailed Solution

The angle on the opposite sides of a transversal and outside two lines are called Alternate Exterior Angles.

In the shown figure,

Alternate interior angles are:

∠2 & ∠8, ∠3 & ∠5

Alternate exterior angles are:

∠1 & ∠7, ∠4 & ∠6

We know that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Thus, ∠4 = ∠6

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