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We know that Opposite angles of a cyclic quadrilateral are supplementary A + C = 180 and B + D = 180

But B : D = 1 : 5 Let B = x and D = 5x x + 5x = 180 6x = 180 x = 30 degrees So, B = 30 degrees and D = 150 degrees But A : C = 3 : 1 Let A = 3x and C = x 3x + x = 180 4x = 180 x = 45 degrees So, A = 135 degrees and C = 45 degrees