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Answer:
∠ C = 80°
Now, ∠D = ∠ B = 100°
So, AD = DP .
∠ BPA = 90° as ∠ PBA = CBP
∠BPC = 50° = ∠PBC
So, CP = CB
Also, DC = 2AD
DC = DP + PC
= AD + CB = AD + AD
= 2AD