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given,AB // DC
and AC and BD intersect at point P
to prove, tri. APB = Tri. CPD
proof, angel BAP = angle PCB ( alternate interior angles are equal)
angle APB = angle DPC (Vertically opposite angles)
angle ABP = angle PDC ( alternate interior angles are equal)
therefore. by AAA Congruence criteria,
tri.APB = Tri. CPD
HENCE PROVED...
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