ABCD is a parallelogram in which ∠A = 60 If the bisectors of ∠A & ∠B meet DC at P prove that ∠APB=90

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ABCD is a parallelogram in which ∠A=60∘. If the bisectors of ∠A and ∠B meet at P, AD =DP, DC = 2AD. ABCD is a parallelogram in which ∠A=60∘. If the bisectors of ∠A and ∠B meet at P, AD =DP, DC = 2AD.