Hello there. To solve this question, we need to remember some properties about quadrilaterals inscribed in a circle.
Given a quadrilateral ABCD inscribed in a circle as the following:
There is a theorem that says that the sum of opposite angles in the quadrilateral adds up to 180º, namely:
[tex]\begin{gathered} \alpha+\delta=180^{\circ} \\ \beta+\gamma=180^{\circ} \end{gathered}[/tex]
In this case, we want to calculate the measure of the angle OPQ
For this, we'll use the above theorem and have that:
[tex]m\angle\overline\mleft\lbrace OPQ\mright\rbrace+(2x+16^{\circ})=180^{\circ}[/tex]
