Question

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Answer 1

All three conditions are true.

Lets start with (i) In a parallelogram, opposite sides are parallel and opposite angles are equal. So Angle A = Angle C is true.

Now, (ii), we have to prove (iii) first, so, FA and CE are bisectors,

Angle DAF = Angle FAB,

Similarly, Angle BCE = Angle DCE

Since Angle A = Angle C from parallelogram, so the bisectors must be of same angle too wiz CEFA is a parallelogram(iii) is also true.

Now, Since CE || FA, (ii) is also correct.

Hence all three options are correct.

Answer 2

Answer:

see the given attachment