4. In the given trapezium ABCD, side AB | side DC.
AMI DC and BNI DC.
If I(AB) = 20, 1(BC) = 13,
I(NC) = 5,1(AD) = 15 then I(DC) = ?
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Answer:
Since, ∠COD=∠AOB (opposite angle) , ∠CDO=∠OBA (transversal angle) and ∠DCO=∠OAB (transversal angle).
Then
AB
CD
=
OA
OD
or,
20
6
=
15
OD
or, OD=4.5
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