In the given figure , PN and QM are both perpendicular to line segment PQ . Also PN=QM. PQ and MN bisect X . Prove that X is the midpoint of PQ as well as MN
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∠P = ∠Q (Alternate angels)
∠PXN = ∠QXM (Opposite angles)
PN = MQ (given)
By AAS
PX = XQ
:. X is mid point of PQ
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