Question

In the figure, O is the centre of the circle. What is the value of x? *
Captionless Image​

Answer 1

Step-by-step explanation:

OA=OC⇒∠OAC=∠ACO=X

∠ADC+∠AMC=180

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(cyclic quadrilateral )

∠AMC=180

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−140

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=40

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∠ADC=2∠AMC=2×40

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=80

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In △AOC

∠ADC+∠OAC+∠OCA=180

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x+80

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+x=180

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2x=100

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x=50

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solution

Answer