Question

Prove that the angles opposite to the equal sides of a triangle are equal..

Answer 1

I'll just say the method. Two angles are equal so the triangle is isosceles. Draw median/perpendicular/angle bisector from the angle opposite to equal angles. Prove that the triangles so formed are congruent (ASA, SAS or AAS) As the triangles are congruent, the sides opposite to equal angles are equal by CPCT.

Answer 2

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➧ See the attachment (In Pic).