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Step-by-step explanation:
Ques1. Given: AB//CD
To prove: anABP +anCDP=anDPB
Construction: draw line MN parallel to CD and AB.
Proof: anCDP=anDPN (alternate interior angles are equal then lines are parallel.)______1
similarly anABP=anBPN _______2
Now adding 1 and 2 (LHS and RHS)
anCDP+ anABP=anDPN+anBPN
anCDP+anABP=anDPB
Hence proved
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