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In the given ...

Question

In the given figure, if ∠ADE = ∠ABC, then CE =

(a) 2
(b) 5
(c) 9/2
(d) 3

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Solution

Given:

To find: The value of CE

Since

∴ DE || BC (Two lines are parallel if the corresponding angles formed are equal)

According to basic proportionality theorem if a line is parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

In ∆ABC, DE || BC

Hence we got the result .

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