Question

In quadrilateral if each pair of opposite angles are equal then it is a parallelogram

Answer 1

yes.................
Given : A quad.ABCD in which AB=CD and AD=BE

To prove: ABCD IS a parallelogram,

construction : join A to C

proof: In triangle ABC and CDA, we have

AB= CD. (given)
BC=AD (given )
AC=AC (common)

so,triangle ABC congruent CDA

SO, Angle BAC = Angle DCA.

But, these are alternate interior angle.

So, AB||DCA. similarly AD||BC.
Hence, ABCD IS A ||GRAM

Answer 2

true
if each pair of opposite angles are equal then it is a parallelogram