Question
If $\angle\text{D}=\angle\text{C},$ then is it true that $\triangle\text{ADE}\sim\triangle\text{ACB}?$ Why?

Answer

True: In $\triangle\text{ADE}$ and $\triangle\text{ACB}$$\angle\text{D}=\angle\text{C}$ [Given]
$\angle\text{A}=\angle\text{A}$ [Common]
$\therefore\triangle\text{ADE}\sim\triangle\text{ACB}$ [by AA similarity criterion]

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