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In given trapezium ABCD we have,
In ∆AOB and ∆COD
angle AOB = angle COD
( vertically opposite angles are equal)
angle OAB = angle OCD
( interior alternate angles are equal)
OB = OD
( sides opposite to equal angles of triangle are equal in measure )
thus, ∆AOB ~∆COD
( by SAS congruence rule )
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