Question

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Answer 1

here is your answer..

1 can be simply proved as both angleAOC and angle BOD are vertically opposite angles.

therefore angleAOC = angle BOD.

2) In triangles AOC and BOD we have ,

AO =BO ( given)

angle AOC = angle BOD ( proved in 1)

and CO = DO (GIVEN)

By SAS CONGRUENCE RULE,,

therefore Triangle AOC

is congruent to Triangle BOD.

therefore AC = BD ( CPCT)

HENCE PROVED.

Ans