Which expression gives the measure of angle XYZ?
Check the final answer first, then review the worked steps.
Problem
Which expression gives the measure of angle XYZ?
Step-by-step solution
The angle XYZ is an inscribed angle formed by two intersecting chords. The measure of such an angle is half the sum of the measures of the intercepted arcs. The intercepted arcs are the arc VW (110 degrees) and the arc XZ (42 degrees).
Answer
$$\frac{1}{2}(110^{\circ} + 42^{\circ})$$