In the given figure, lines AB and CD are parallel and P is any point between the two lines. Prove that z = x + y.
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Step-by-step explanation:
/_ABP=/_BPM=x....(1)
(Alternate interior angle)
/_DPM=/_PDC=y....(2)
(Alternate interior angle)
/_DPB= /_BPM + /_DPM
Therefore, (1) & (2), /_DPB = x+y
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