Whether each quadrilateral is a parallelogram.
Answer to Problem 58SPR
The given figure is not a parallelogram.
Explanation of Solution
Given:
The given figure is:
Calculation:
In a parallelogram, both the pair of opposite sides are parallel.
Looking at the given figure, one pair of the consecutive
As one pair of consecutive angles is supplementary, this proves that one pair of opposite sides is parallel, but this does not give any information about the other pair of opposite sides.
Hence, the given figure is not a parallelogram.
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