In the given figure,RT||SQ,if angle QPS=110°,angle PQS=40°,angle PSR=75° and angle QRS=65°,then the value of angleQRT is
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Step-by-step explanation:
From △PSQ, we have
∠PSQ=180 ∘−(100 ∘+40)=40 ∘
∴∠QSR=85∘ −∠PSQ =85∘ −40 ∘ =45 ∘
Since RT ∣∣ SQ, therefore
∠TRX=45 ∘
Now, 70 ∘+x ∘ +45 ∘ =180 ∘
∴x ∘ =180 ∘ −115 ∘ =65 ∘
Hope It helps You
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