Question

o is centre of the circle. if angle AOC is 130° then find angle ABC​

Answer 1

Step-by-step explanation:

Given that, O is the centre of the circle.

AOC is the angle at the centre which is 130° and Angle ABC is the angle at the Circumference i.e., both of them lie on the same minor arc AC.

So, according to the theorem, the centre angle is twice the circumference circle if they lie on the same arc.

Therefore, Angle AOC = 2× Angle ABC

Angle ABC = 1/2 Angle AOC

= 1/2 × 130°

= 65°