abcd is a quadrilatrel AB||CD
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here is the answer to your question
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w.k t
∠a=∠c=80°(ab║cd and alternate angles are equal)
∠b=∠c=84°(ab║cd znd alternate angles are equal) ∠cda=1/2 ∠cdp so,84/2 =42° and similarly ∠dcb=1/2∠dcp and 80/2=40
in triangle pdc w.k.t in triangle all angles are equal to 180°
so ∠cda+∠dcp+dpc=180° =42+40+∠dpc=180° =∠dpc=180-82 and ∠DPC=92°
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