Question

In the figure below , O is the centre of the circle and A , B, C are points on the circle. What are the angles of triangle ABC?

Answer 1

angle abc is always half of angle aoc i.e 60
like wise angle c is also half of angle aoc i.e 60
its a property of triangle

Answer 2

since triangle aoc, aob, boc have common lengths so they have same angle