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Step-by-step explanation:
As AC is the diameter,
Angle ABC=90°[angle subtended by a dia meter is a right angle]
Angle ABD=45°[BD is angle bisector]
Angle AOD=90°[interception theorem]
Angle AOD+Angle DOC=180°[linear pair]
Angle DOC=90°
Seg OD _|_ Seg AB
Hence proved.
Hope it helps you.
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