In the given figure, AC⊥AB, If ∠BAP=x,∠PAQ=(x+5∘) and ∠CAQ=(2x+5∘). find the value of x and reflex ∠PAQ
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Solution
We are given that SC⊥AB ⇒∠CAB=90∘ (given) ⇒∠BAP+∠PAQ+∠CAQ=90∘ ⇒x+(x+5∘)+(2x+5∘)=90∘ ⇒4x+10∘=90∘ ⇒4x=80∘ ⇒x=20∘ ⇒∠PAQ=(x+5∘)=20∘+5∘=25∘ Reflex ∠PAQ=360∘−25∘=335∘