Answer:
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
Explanation:
we know that
A parallelogram have opposite sides parallel and congruent
so
If the given quadrilateral is a parallelogram
then
----> equation A
and
----> equation B
solve equation A

solve equation B

The value of x is the same in both equations
That means
For x=8 inches opposite side are congruent
therefore
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.