Question

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Answer 1

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Answer 2

$\sf\red{We\:have,PQ||RS\:Produce \: PQ \: to\:M}$

$\sf\pink{\angle{CQP}=\angle{MQD}(Vertically\:opp.\:to\:\angle{S}}$

$\sf\pink{\therefore 60°=\angle{1}+25°}$

$\sf\pink{\angle{1}=35°}$

$\sf\red{Now,QM||RS\:and\:QR\:cuts\:CD\:and\:AB}$

$\sf\pink{\angle{ARQ}=\angle{RQD}=25°(Alt,\angle{S}}$

$\sf\pink{\therefore \angle{1}+(\angle{ARQ}+\angle{RMP}=180°}$

$\sf\pink{\angle{1}+(\angle{ARQ}+\angle{ARS}=180°}$

$\sf\pink{35°+(25°+\angle{ARS}=180°}$

$\sf\pink{\angle{ARS}=180°-60°=120°}$

$\sf\pink{\therefore \angle{QRS}=\angle{ARQ}+\angle{ARS}}$

$\sf\pink{25°+120°=145°}$