Question 52

In the given figure, if $$\angle$$APO = 35$$^\circ$$, then which of the following options is correct?

Solution

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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