From the figure, find the measure of the unknown angle \(x\) and state the theorem used in finding the same.
In the given figure, \(XZ\) is the longest chord of the longest chord of the circle.
1. The measure of \(\angle\)\(XYZ\) is
2. The theorem used in finding the unknown angle \(x\) is
Answer variants:
Angle inscribed in a semi-circle is a right angle
Sum of the interior angles of a triangle is \(180^{\circ}\)
Equal arcs of a circle subtend equal angles at the centre
Angles in the same segment of a circle are equal