Question

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​

Answer 1

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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