In the given figure, aoc = 130°, where o is the centre. find ∠ABC

We know that

Angle subtended by a chord on mayor area is half of that subtended on center


∠ADC= 1/2∠AOC

∠ADC= 1/2 ×130=65

ADCB is cyclic quadrilateral ⇒
Sum of opposite Angles is 180º



∠ABC= 115º

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