In the figure, A0Q and POB are straight
<A = 35º,< B = 40°,<P 38° and <Q = x. Find the value of x.
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In △OAQ and △OBP, we have
∠A=∠B [Each equal to 90∘]
∠AOQ=∠BOP
So, by AA-criterion of similarity, we have
△AOQ∼△BOP
⇒ Area(BOP)Area(△AOQ)=OP2OQ2
⇒ 150Area(△AOQ)=5272
⇒ Area(△AOQ)=2549×150cm2=294cm2
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