Question

Find the angles x, y in the following circles with centre O.​

Answer 1

AT is the tangent of 'o'circle .so absolutely the ATO angle will be 90°.

Then TAO angle is given 35°. so we know that there are 180° in a triangle.

so ATO angle +TAO angle+AOT angle =180°

Then put the value

90°+35°+AOT angle =180°

Then 125°+AOT angle =180°

Now AOT angle =180°-125°=55°