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In the given figure, if $$\angle$$APO = 35$$^\circ$$, then which of the following options is correct?
Given, $$\angle$$APO = 35$$^\circ$$
AP and BP are tangents to the circle from the external point P. The line from the centre to the external point bisects the angle formed by this two tangents.
$$\Rightarrow$$ $$\angle$$APO = $$\angle$$BPO
$$\Rightarrow$$ $$\angle$$APO = $$\angle$$BPO = 35$$^\circ$$
$$\angle$$APB = $$\angle$$APO + $$\angle$$BPO = 35$$^\circ$$ + 35$$^\circ$$ = 70$$^\circ$$
Hence, the correct answer is Option C
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