Question

In the given figure, O is the centre of the circle. Find ∠BAC.

Answer 1

It is given that

And (given)

We have to find

In given triangle

(Given)

OB = OA (Radii of the same circle)

Therefore, is an isosceles triangle.

So, $\angle OBA=\angle OAB$ ..… (1)

(Given)

[From (1)]

So

Again from figure, is given triangle and

Now in ,

(Radii of the same circle)

$\angle OAC=\angle OCA$

(Given that)

Then,

Since

Hence