The measure of a central angle is equal to the measure of its intercepted arc. The...
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Problem
The measure of a central angle is equal to the measure of its intercepted arc. The measure of the major arc is 360 degrees minus the measure of the minor arc.
Step-by-step solution
The central angle $\angle XYZ$ intercepts arc $XZ$. The measure of arc $XZ$ is equal to the measure of $\angle XYZ$, which is $75^\circ$. The measure of the major arc $XWZ$ is $360^\circ - 75^\circ = 285^\circ$.
Answer
$285^\circ$