Question

What is the measure of XYZ?

Answer 1

It’s 54 you add them both then divided by two so 75+33=108 then divided it by 2 it’s 54

Answer 2

The answer is the option B

`54\°`

Explanation:

we know that

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

in this problem

∠XYZ is the interior angle

∠XYZ=
`(1)/(2)( arc\ XZ+arc\ VW)`

we have

`arc\ XZ=75\°`

`arc\ VW=33\°`

Substitute the values

∠XYZ=
`(1)/(2)( 75\°+33\°)`

∠XYZ=
`54\°`