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Diagonals of a Parallelogram Bisect Each - Other

In the given ...

Question

In the given figure, ABCD is a parallelogram. Find x.

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Solution

AB = DC [Opposite sides of a parallelogram]
$\Rightarrow 3 x + 5 = 5 x - 1$
$\Rightarrow 3 x - 5 x = - 1 - 5$
$\Rightarrow - 2 x = - 6$
$\Rightarrow x = 3$

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