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Question

Match List – I with List – II and select the correct answer using the codes given below the lists:

PropertiesQuadrilateralsIn a parallelogram ABCDIf D=115,then the measure of A =68PQRS is a square such that PR and SQ intersect at Othen the measure of POQ=58The diagonals of a rectangle ABCD meet at O. If BOC=44,then the measure of OAD = 90If ABCD is a rectangle with BAC=32, then the measure ofDBC is =65

Choose the correct option:

A
A=58, POQ=65, OAD=90,DBC=58
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B
A=65, POQ=68, OAD=90,DBC=58
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C
A=65, POQ=90, OAD=68,DBC=58
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D
A=65, POQ=90, OAD=58,DBC=68
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Solution

The correct option is C A=65, POQ=90, OAD=68,DBC=58
A=180115=65---- (Adjacent angles of a parallelogram are supplimentary)

POQ=90 -----(Diagonals of a square bisect each other at right angles)

AOD=44 ------ (They are vertically opposite angles.
OAD and ODA are equal as diagonals are equal and bisect each other in an rectangle.
In AOD

OAD+ODA+AOD=180o
(Sum of angles in a triangle is 180)
OAD=ODA=180o44o2 = 68o

DBC=58 ------- (DAB and CBA are supplementary)

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