MCQ
In the given figure if $\angle ADE =\angle ABC,$ then $CE$ is equal to
- ✓$4.5$
- B$3$
- C$2$
- D$5$
✓
Answer
Correct option: A.
$4.5$
Explanation:
$\angle ADE =\angle ABC$ and $\angle DAE =\angle BAC$.
Hence $\triangle ADE \sim \triangle ABC \ ( AA$ similarity$)$
hence the corresponding sides are in proportion
$\frac{A D}{A B}=\frac{A E}{A c}$
$\Rightarrow \frac{2}{5}=\frac{3}{C E+3}$
$\Rightarrow C E=4.5$
$\angle ADE =\angle ABC$ and $\angle DAE =\angle BAC$.
Hence $\triangle ADE \sim \triangle ABC \ ( AA$ similarity$)$
hence the corresponding sides are in proportion
$\frac{A D}{A B}=\frac{A E}{A c}$
$\Rightarrow \frac{2}{5}=\frac{3}{C E+3}$
$\Rightarrow C E=4.5$
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