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Question

In a quadrilateral ABCD ; angles A,B,C and D are in the ratio 3:2:1:4. then AD is parallel to BC.
If true then enter 1 and if false then enter 0.

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Solution

GivenisquadrilateralABCDwithanglesA,B,C&Dintheratioof3:2:1:4.Nowweknowthatsumofallanglesofaquadrilateral=360oSoA=310×360o=108o;B=210×360o=72o;C=110×360o=36o;D=410×360o=144oFromthefigure,A+B=108o+72oA+B=180oi.e.SumofinterioranglesonthesamesideofthetransversalAB=180oBCAD.
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