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 Share with your friends Share 0 Rajat Sethi answered this given∠ABC=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=2∠ABC=260°Angle subtended with the diagonal AC=360°-260°=100° 0 View Full Answer Fahim Middya answered this The angle subtended by the diagonal at the center is 260 degree. 1