Question

Which expression gives the measure of XYZ?

Answer 1

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

so

$Angle\ XYZ=\frac{1}{2}[arc\ UW+arc\ XZ]$

In this problem we have

$arc\ UW=110\°$

$arc\ XZ=42\°$

substitute the values

$Angle\ XYZ=\frac{1}{2}[110\°+42\°]$

therefore

the answer is the option B

$\frac{1}{2}[110\°+42\°]$

Answer 2

The correct answer is B