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Question

In the given figure, AB and CD intersect at O,OA=OB and OD=OC. Show that AODBOC.
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Solution

Given: AB and CD intersect at point O.

OA=OB and OD=OC

In ΔAOD and ΔBOC,

OA=OB ....(Given )

OD=OC ...(Given )

AOD=BOC ...(Vertically opposite angles )

ΔAODΔBOC ....(SAS test) [henceproved]

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