Answer:
D
Step-by-step explanation:
So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:
[tex]\angle PQR+\angle XYZ=180[/tex]
Since we already know the measure of PQR, substitute 83 for PQR:
[tex]83+\angle XYZ=180[/tex]
Subtract 83 from both sides:
[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]
The answer is D
