Question

prove that opposite angles are equal of a parallelogram

Answer 1

The answer is very simple.......
In ABC and ADC
AB=DC(opposite sides of a parallelogram )
ANGLE BAC= Angle DCA(alternate angles )
BC=AD(opposite sides of a parallelogram )

therefore, ABC IS CONGRUENT TO ADC

THEREFORE ANGLE B = ANGLE D(C.P.C.T)
SIMILARLY, WITH Diagonal BD WE CAN PROVE THAT ANGLE A IS EQUAL TO ANGLE C

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Answer 2

Hope it answer is Your answer.