Question

THREE ANLES OF A QUADRILATERAL ARE EQUAL . IS IT A PARALLELOGRAM?

Answer 1

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Answer 2

Answer: Yes, it is right. Here is the proof...

We assume a quadrilateral ABCD.

Given Thee angle of quadrilateral are equal

Then ∠A=∠B=∠C

But sum of angle of a  quadrilateral=360°

If ∠A=∠C then AB||CD

∴∠A+∠B+∠C+∠D=360°

And ∠D=360° −3∠A

∴∠D must be equal to ∠A=∠B=∠C

∴AD∣∣BC

Then ABCD is a parallelogram.

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