Question

Does anyone know this?

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Answer 1

I suppose option A `(triangleADE ~triangleABC)` is correct.

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

now,
`angle E = 180^@ - angleA - angle D`
`angle C = 180^@ - angleA - angle B`
`=>color(magenta)(angle E =angle C`

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