Question

In Fig. 4.244, if ∠ADE = ∠ABC then CE =
A. 2
B. 5
C. 9/2
D. 3

Answer 1

Answer:

Given:

angle ADE = angle ABC

We need to find the length of side CE.

Since angle ADE = angle ABC, we have

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

Thus, by the basic proportionality theorem, we get

Hence, EC = 4.5.

Therefore, the correct answer is (c).

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