Question

abcd is a cyclic quadrilateral in which o is the centre of the circle and one of the diagonal of cyclic quadrilateral passes through the centre of the circle and angle dca is 30 degree find the measure of angle cad​

Answer 1

Answer:

By the inscribed angle theorem, we have, 1 LAO ZABC = AOC 2 ZABC = 60°. Since quadrilateral ABCD is a cyclic quadrilateral, we have, ZABC + ZADC = 180° ...[Opposite %3D angles of cyclic quadrilateral are supplementary] > ZADC = 180° –