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If PQRS is a parallelogram in which anglePQR is 75° and angle PRS is 60° find angle P​

Answer»

PQRS \:is \:a \: parallelogram . \\PQ\parallel SR \:and \: \\PS\parallel QR ,\\\angle {PQR} = 75\degree

\red { To \:find : } \\\angle P = ?

\angle P + \angle {PQR} = 180\degree

\pink { ( Sum \: of \: adjacent \:angles \:are }

\pink { supplementary .) }

\implies \angle P + 75 \degree = 180\degree

\implies \angle P =  180\degree - 75\degree\\= 105\degree

THEREFORE.,

\red {\angle P}\green {= 105\degree }

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