Question

in the given fig O is centre of the circle if angle AOC = 130, then find x
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Answer 1

Answer:

Step-by-step explanation:

∠ADC=

2

1

​

∠AOC

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

∴∠ADC=

2

1

​

×130=65

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Now, ADCB is cyclic quadrilateral ⇒

Sum of opposite Angles is 180

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∴∠ABC+∠ADC=180

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∠ABC+65=180

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∠ABC=115

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