In the given figure, ΔABC is inscribed in a circle with centre O. If ΔACB=65o, find ∠ABC.
A
25o
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B
35o
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C
Cannot be determined
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D
None of these
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Solution
The correct option is A25o Given−ΔABChasbeeninscribedinacirclewithcentreOanddiameterBC.∠ACB=90o.Tofindout−∠ABC=?Solution−∠BAC=90osinceitisanangleinasemicircle.∴InΔABC∠ACB+∠BAC+∠ABC=180o⟹∠ABC=180o−(∠ACB+∠BAC)=180o−(65o+90o)=25o.Ans−OptionA.