Mathematics

Determine the value of x in the figure given below.


ANSWER

$$60^{\circ}$$


SOLUTION
O is the centre of the circle and OA and OB and OC are the radius of the circle..
Thus, $$OA=OB=OC$$
$$∠OAB= ∠OBA(∵OA=OB)$$
$$=>∠OAB=35^∘$$
Similarly, $$∠OAC=\angle OCA$$
 $$=>\angle OAC=25^∘$$
Now,
$$\angle BAC=\angle OAB+\angle OAC$$
$$∴ ∠x=35^∘+25^∘=60^∘$$
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