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Step-by-step explanation:
given-
RO is perpendicular to PQ
To prove- angleROS is equal to halfangle QOS-anglePOS
Proof-
since OR is perpendicular to PQ
hence,. angleROP is equal to 90 degree and ROQ is equal to 90 degree
we can say that angle ROPis eaual to angleROQ
angle POS+ angleROS is equal to angle ROQ
angle POS + angle ROS is equal to angle QOS- angle ROS
angle SOR+ angleROS is equal to angleQOS-angle POS
2 angle ROS is equal to angle QOS- anglePOS
angle ROS is equal to half angle QOS - anglePOS
hence proved
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