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Question Number 23679 by math solver last updated on 03/Nov/17

Answered by ajfour last updated on 03/Nov/17

$$\left(B\right)2:3$$

Commented by math solver last updated on 03/Nov/17

$$\mathrm{sir}\mathrm{plzz}\mathrm{provide}\mathrm{sol}.\mathrm{also}....$$

Commented by math solver last updated on 04/Nov/17

$$??$$$$$$

Answered by mrW1 last updated on 04/Nov/17

$$\mathrm{\angle }\mathrm{BAC}=\mathrm{\angle }\mathrm{BCA}=15°$$$$\mathrm{\angle }\mathrm{OAC}=60-15=45°$$$$\mathrm{\angle }\mathrm{OCA}=45-15=30°$$$$\mathrm{\angle }\mathrm{OFA}=\mathrm{\angle }\mathrm{OAC}=45°$$$$\mathrm{\angle }\mathrm{OFC}=180-45=135°$$$$\mathrm{\angle }\mathrm{COF}=180-30-135=15°$$$$\mathrm{\angle }\mathrm{BOF}=\mathrm{\angle }\mathrm{BOC}-\mathrm{\angle }\mathrm{COF}=45-15=30°$$$$\frac{\mathrm{\angle }\mathrm{BOF}}{\mathrm{\angle }\mathrm{BOC}}=\frac{30}{45}=\frac{2}{3}$$$$\Rightarrow \mathrm{answer}\left(\mathrm{B}\right)$$

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