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In the diagram of circle $P, m \angle X Y Z$ is $72^{\circ}$. What is the value of $x$ ? $108^{\circ}$ $144^{\circ}$ $216^{\circ}$ $252^{\circ}$

Studdy Solution
Use the relationship to find $x$:
Given $m \angle XYZ = 72^\circ$, we have:
$$72^\circ = \frac{1}{2} \times x$$
Solve for $x$:
$$x = 2 \times 72^\circ$$ $$x = 144^\circ$$
The value of $x$ is:
$$\boxed{144^\circ}$$