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Question

A quadrilateral ABCD will be a parallelogram for the following conditions.
D+B=1800
If true then enter 1 and if false then enter 0

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Solution

Letusconsiderfig(i)&fig(ii).B+D=180O(given)A+C=180OItdoesnotmeanthatB=Dasinfig(i).evevenifB=DitdoesnotmeanthatA=Casinfig(i).Foraquadrilateraltobeaparallelogramitisnecessarythatboththeoppositepairsofanglesareequalasinfig(ii).Herethesumoftheoppositeanglesare180O.i.eABCDtobeaparallelogramitisnecessarythateachangleshouldbe=90o.Itmayormaynotoccurineachquadrilateralingeneral.AnsCanbebutneednotbe.
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