Question

In the given figure, why AC||DE?

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Answer 1

In the given figure,

AC || DE because if we take DC as a transversal then angle ACD = angle CDE

But they are alternate angles,

Hence AC || DE

Answer 2

 ∵ ∠ EDC = 100° and ∠DCA are alternative interior angles of lines DE and AC whose transversal is CD.

∴ DE || AC (One pair of alternative angles are equal . so lines are parallel).