Traingle problem


Can anyone help me with this? I got C but the answer sheet has D. Aren’t the angles opposite to equal sides be equal?

The correct answer should be D. Bisectors of opposite sides are angle bisectors only in case of isosceles and equilateral triangles. Here, the type of triangle is not given.

Also, I think the theorem - Angles opposite to equal sides are equal holds true only when we are considering a single triangle. In this case the angles belong to two different smaller triangles.

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