Question
The value of k is _____.
- 6
- 7
- 2
- 5
Hint:
opposite sides are equal in a parallelogram
The correct answer is: 6
6
Using the properties of parallelograms, opposite sides are equal in a parallelogram.
Here, PR = XY and XY = QS. As XY is the common side for both the parallelograms, we can concur that PR= QS
2k -7 = QS = 5
2k = 12
k = 12/2
k = 6
we can also conclude that PR = QS by simply observing the symmetry of the figure. However, mathematical reasoning should also be acknowledged. In a parallelogram, opposite angles and sides are equal
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