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1 Answer
Sahar Mulla ❤
Feb 16, 2018

I suppose option A (triangleADE ~triangleABC)(△ADE~△ABC) is correct.

this is because, it is already given that, color(magenta)(angleD = angleB∠D=∠B
color(magenta)(angle A∠A is shared by both the triangles,

now,
angle E = 180^@ - angleA - angle D∠E=180∘−∠A−∠D
angle C = 180^@ - angleA - angle B∠C=180∘−∠A−∠B
=>color(magenta)(angle E =angle C⇒∠E=∠C

Hence, since the corresponding angles are equal, the triangles are similar by, AAA rule

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