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answer: In triangle SOP and DOQ
angle AOP =QOD
ANGLE QDO=OAP
AO=OD
by ASA prop triangles are congruent
AP=QD-----------1
AP=PB and CQ=QD ----------2
by 1 and 2
AP= PB=CQ=QD
AP=QD
multiply 2 to both sides
AP+AP=QD+QD
AP+PB =QD+CQ
AB=CD
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