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The angles of a cyclic quadrilateral \(ABCD\) are \(\angle A = (6x + 10)^{\circ}\), \(\angle B = (5x)^{\circ}\), \(\angle C = (x + y)^{\circ}\), \(\angle D = (3y - 10)^{\circ}\).
Find \(x\) and \(y\), and hence the values of the four angles.
Answer:
\(x =\)
\(y =\)
\(\angle A =\) \(^{\circ}\)
\(\angle B =\) \(^{\circ}\)
\(\angle C =\) \(^{\circ}\)
\(\angle D =\) \(^{\circ}\)