Answer:
B. False.
Step by step explanation:
We have been given an statement that 'if opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram' and we are asked to determine whether this statement is true or false.
Let us recall parallelogram properties, which says that a quadrilateral is parallelogram if opposite angles of quadrilateral are congruent and two consecutive angles of quadrilateral are supplementary.
Therefore, our given statement is false and option B is the correct choice.