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yes the given quadrilateral is a parallelogram
because there are alternate interior angles as well as one pair of opposite side is equal
Step-by-step explanation:
in quadrilateral ABCD
AC and BD are two lines and AB is a transversal
< CAB = < ABD
also
these are alternate interior angles
we know that if alternate interior angles are equal then the lines are parallel
and
on the other hand AC = BD = 6cm
so we found that one pair of opposite sides are equal and parallel and when one pair of opposite sides are equal and parallel the quadrilateral is said to be a parallelogram
therefore ABCD is a parallelogram
hope this helps
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