Question

O is the center of the circle and angle AOC =140 determine angel ADC and angel ABC

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Answer 1

Given: In the given figure O is the centre of the circle.

To Prove:

Proof: In ΔBEC using exterior angle theorem.

Exterior angle theorem property: Sum of two interior angle of triangle is equal to opposite exterior angle. So, we get

Double the above equation both sides

Angle subtended on circle is half angle subtended at centre.  

 (∴ Angles subtended on same arc are equal)

In ΔFDC using exterior angle theorem.

Hope this helps you ☺️☺️