ABCD is a cyclic quadilateral. If  ​angle ABC measures 130 degree. then what is the angle subtended byits digonal ACat the centre of the circle

givenABC=130°we know, angle subtended by an arc at the centre is double the angle subtended by the arc at any point on the remaining part of the circle.AOB=2ABC=260°Angle subtended with the diagonal AC=360°-260°=100°

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The angle subtended by the diagonal at the center is 260 degree.
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