In the given figure, AB || DE. Find ∠ACD.

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Solution

In the given problem,

We need to find

Now,and AE is the transversal, so using the property, “alternate interior angles are equal”, we get,

Further, applying angle sum property of the triangle

In ΔDCE

Further, ACE is a straight line, so using the property, “the angles forming a linear pair are supplementary”, we get,

Therefore,.

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In the given figure, $∠ B = ∠ E, ∠ A C D = ∠ B C E, A B = 10.4$ cm and DE = 7.8 cm. Find the ratio of areas of the $Δ A B C$ and $Δ D E C$ .

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