using the figure shown to the right, find the value of each variable.\n$x = \\square$ (simplify your answer…

Explanation:

Step1: Identify the inscribed angle relationship

The measure of an inscribed angle is half the measure of its intercepted arc. $$x = \frac{1}{2} \cdot \text{intercepted arc}$$

Step2: Determine the intercepted arc for angle $x$

The angle $x^{\circ}$ intercepts the arc labeled as $60^{\circ}$. $$\text{Intercepted Arc} = 60^{\circ}$$

Step3: Calculate the value of $x$

Divide the arc measure by 2 to find the angle. $$x = \frac{60}{2}$$ $$x = 30$$

Answer:

30