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Find the values of x, y, and z in the given cyclic quadrilateral.

May 6, 2026Mathematics

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Here's how to find the values of $x$ , $y$ , and $z$ :

Find the value of $y$ .
The figure shows a cyclic quadrilateral. In a cyclic quadrilateral, opposite angles sum to $180^\circ$ . The angle $y$ and the angle $126^\circ$ are opposite angles.
$y + 126^\circ = 180^\circ$ $y = 180^\circ - 126^\circ$ $y = 54^\circ$
Find the value of $z$ .
The diagram shows that the angle $z$ and the angle $126^\circ$ are subtended by the same arc (the arc

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