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draw a line LM (from left to right) passing through the point P and parallel to line AB and CD.
since, LM || AB
angle ABP = angle BPM ( alternate interior angle)
LM || CD
angle CDP = angle DPM (alternate interior angle)
adding the two
ABP + CDP = BPM + DPM
= BPD
thus,
ABP + CDP = DPB
proved
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