Question

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

Answer 1

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

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

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

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

$\pink { supplementary .) }$

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

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

Therefore.,

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

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