Answer :

As ABCD is a cyclic quadrilaterals, sum of all angles = 360°


As the angle subtended by chord BC on circumference = 50°


Therefore BDC = 50°


Sum of all angles of triangle BCD = 180°


Hence BCD = 180– 30–50 = 100°


As the angle subtended by chord DC on circumference = 30°


Therefore CAD = 50°


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