find x please answer this with step by step explaination
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ACBO is a quadrilateral
therefore, sum of all angles is 360°
ang. A = 30 °
ang. B = 40°
ang. C = 1/2 x ( As angle subtended by the same arc is half of the central angle )
ang. O = 360 - x °
Adding all of them we get :
30 + 40 + 1/2 x + 360 - x = 360°
430 - 1/2 x = 360°
-1/2 x = 360 - 430
-1/2 x = -70°
x = 140°
Hope it helps you
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