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=(1)/(2)[arc\ UW+arc\ XZ]`

In this problem we have

`arc\ UW=110\°`

`arc\ XZ=42\°`

substitute the values

`Angle\ XYZ=(1)/(2)[110\°+42\°]`

therefore

the answer is the option B

`(1)/(2)[110\°+42\°]`

Answer 2

the correct answer is B