The angles of a cyclic quadrilateral ABCD are∠A=(6x+10)∘,∠B=(5x)∘∠C=(x+y)∘,∠D=(3y−10)∘Find x and y, and hence the values of the four angles.

The angles of a cyclic quadrilateral ABCD are∠A=(6x+10)∘,∠B=(5x)

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