Answer:
D
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:
![\angle PQR+\angle XYZ=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/ybex64crqskpq6cvbgmxfhm9yizyoo3upa.png)
Since we already know the measure of PQR, substitute 83 for PQR:
![83+\angle XYZ=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/wr2o6kqov2md7di8l7meef9zkz38kw5k46.png)
Subtract 83 from both sides:
![(83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree](https://img.qammunity.org/2021/formulas/mathematics/high-school/eh3s2f3n81m9vh7w4il384nrl8pqxdm8ze.png)
The answer is D