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allsm [11]
3 years ago
8

Given that Z = X m W = 4x + 20 and m Y = x + 26 find the value of x for which WXYZ must be a parallelogram

Mathematics
1 answer:
umka21 [38]3 years ago
4 0
<h2>Explanation:</h2>

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel. We know that for any parallelogram opposite angles are also equal. Here:

\angle Z=\angle X \\ \\ \text{and this also must be true} \\ \\ \\ \angle W= \angle Y \\ \\ \\ Then: \\ \\ 4x + 20 = x + 26 \\ \\ \\ Solving \ for \ x: \\ \\ 4x-x=26-20 \\ \\ 3x=6 \\ \\ \boxed{x=2}

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