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in Lines and Angles by (56.3k points)

In Fig, a transversal n cuts two lines l and m. If ∠1 = 70° and ∠7 = 80°, is l ∥ m?

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Given ∠1 = 70° and ∠7 = 80°

We know that if the alternate exterior angles of the two lines are equal, then the lines are parallel.

Here, ∠1 and ∠7 are alternate exterior angles, but they are not equal

∠1 ≠ ∠7 ≠ 80°

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