Question

prove opposite angles of parallelogram are congruent​

Answer 1

Answer:

it's your answer

I think this is help you

Answer 2

Answer:

lets consider quadrilateral ABCD as a parallelogram

since ABCD is a parallelogram, its opposite sides and are parallel and equal

Therefore, AB//CD and BC//AD

AB=CD and BC=AD

Now construct a diagonal BD

In triangle ABD and triangle BCD

ABD=BDC-(alternate angles)

ABD=BDC-(alternate angles)

BD=BD-(common side)

triangle ABD congruent BCD-(A-S-A test)

therefore now all the opposite angles will be equal by property of congruent angles