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Q.

Is this a parallelogram? Justify your answer based upon the data given.

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a

Yes, since both the opposite pairs of sides are parallel.

b

Yes, since both the opposite pairs of sides are congruent.

c

Yes, since the opposite angles are equal.

d

Yes, since one pair of sides is congruent and parallel at the same time. 

answer is C.

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Detailed Solution

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If in a quadrilateral, the opposite angles are equal then it is a parallelogram. Since the given figure clearly matches this criterion hence we can say that it is a parallelogram.
 

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