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Find the value of x in the circle​

Find the value of x in the circle​-example-1

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Explanation:

Angles EXTERNAL to a circle are equal to 1/2 the difference of the intercepted arcs

arcs are 17x and 360 - 17x

75 = 1/2(17x - ( 360-17x)

75 = 1/2 ( 17x - 360 + 17x)

150 = 34x-360

510 = 17x

x =30

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