If [tex]$\angle[/tex] XYZ = 82 degree then the measure of XYZ = 164 degree.
Given: [tex]$\angle[/tex] XYZ = 82 degree
[tex]$\angle[/tex] XYZ= 1/2 arc XZ
Simplifying the above equation, we get
substituting the value of [tex]$\angle[/tex] XYZ = 82 degree
[tex]$82^{\circ}[/tex] = 1/2 arc XZ
82 [tex]*[/tex] 2 = arc XZ
164 = arc XZ
The measure of XYZ = 164 degree
Therefore, the correct answer is option D. 164 degree.
To learn more about angles and arcs
https://brainly.com/question/14147022
#SPJ2
