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Let LM and BAD intersect at O
as AL CM and AB = CD
therefore AB-AL-CD-CM
BL = DM ____(i)
In ️OMD and ️OLB(< means angle)
<DOM=<BOL (vertically opposite angles)
<OMD = <OLB (alternate interior angles)
• DM = BL (from i)
therefore ️OMD congruent to ️OLB
therefore OM OL, OD OB (CPCT)
therefore O bisects LM and BD
therefore LM, BD bisect each other
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