The angles of a cyclic quadrilateral ABCD are `angleA=(6x+10)^(@), angleB=(5x)^(@), angle C =(x+y)^(@)` and `angle D = (3y-10)^(@)`.

Explanation

To solve the problem of finding the angles of the cyclic quadrilateral ABCD, we will follow these steps:

### Step 1: Set up the equations based on the properties of cyclic quadrilaterals.
In a cyclic quadrilateral, the sum of opposite angles is equal to 180 degrees. Therefore, we can set up the following equations:

1. \( \text{Angle A} + \text{Angle C} = 180^\circ \)
2. \( \text{Angle B} + \text{Angle D} = 180^\circ \)

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