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Step-by-step explanation:
In triangle PMO and triangle QNO
PM = QN (Given)
angle PMO = angle QNO = 90° (Given)
angle POM = angle QON (Vertically opposite angles)
By ASA congruency triangle PMO and triangle QNO in congruent.
As the triangles are congruent means all corresponding sides and angles are equal
Hence
OM = ON
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