SOLUTION: In the diagram of circle O, AB and BC are chords and the measure of angle AOC= 136 degrees. what is the measure of angle ABC?

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Question 198478: In the diagram of circle O, AB and BC are chords and the measure of angle AOC= 136 degrees. what is the measure of angle ABC?
Answer by anantha(86) About Me  (Show Source):
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sol:
Angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point of the remaining part of the circle
Angle ABC=1/2* Angle AOC
=1/2*136=68 degrees