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Step-by-step explanation:
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Step-by-step explanation:
<DAB=<BCD. (parallelogram opposite angles are equal)
<DAB+<BAD=180°-(1) (DABP is a cyclic quadilateral)
<BPD+<CPD=180°-(2) (linear pair)
by (1) and(2);
<DAB+<BPD=<BPD+<CPD
<DAB=<CPD
<BCD=<CPD. (<DAB=<BCD)
In triangle PDC;
<BCD=<CPD
therefore triangle PDC is isosceles TRIANGLE
therefore DC=DP
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