Question

o prove that in a parallelogram opposite sides are equal​

Answer 1

Statement : In a parallelogram, opposite angles are equal.

Given : Parallelogram ABCD

To prove ; ∠A = ∠C and ∠B = ∠D

Proof :

In parallelogram ABCD,

Consider,

AD || BC and AB is transversal

∠A + ∠B = 180° [Co - int. Angles]...... (i)

Now, consider AB || DC and BC transversal

∠B + ∠C = 180° [Co - int. Angles]...... (ii)

From (i) and (ii) we get ;

∠A + ∠B = ∠B + ∠C

∠A = ∠C

∠B = ∠D

Hence, it is proved.

Answer 2

Answer:

let's take llgm ABCD in which

ac and bd are diagonals ..

to prove,ab=cd and ad=BC

proof,

in triangle ,BCD and ABC

the triangles are congruent with sss rule

therefore,by cpct ab=cd and ad=BC

hence proved

pls mark as brainliest answer (*_*)(+_+)