Question

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

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

Answer 1

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 .