circle tangent arc measure
Check the final answer first, then review the worked steps.
Problem
circle tangent arc measure
Step-by-step solution
The sum of the central angles in a circle is $360^\circ$. The minor arc $\widehat{XZ}$ is $360^\circ - 254^\circ = 106^\circ$. The measure of the central angle $\angle XOZ$ is equal to the measure of its intercepted arc $\widehat{XZ}$.
Answer
106^\circ