In Figure, `P Q R S` is a cyclic quadrilateral. Find the measure of each of its angles.

Explanation

To find the measure of each angle in the cyclic quadrilateral \(PQRS\), we can use the property that the opposite angles of a cyclic quadrilateral are supplementary. This means that the sum of the measures of opposite angles is \(180^\circ\).

Let's denote the angles as follows:
- \( \angle P = 3x \)
- \( \angle Q = 5y \)
- \( \angle R = x \)
- \( \angle S = y \)

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