answer: option a.
step-by-step explanation:
you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.
then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.
you can observe in the figure that the angles ∠opq and the angle ∠orq are opposite, therefore:
![m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°](/tex.php?f=m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°)
then,
can be used to d to calculate the measure of ∠opq
![Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to](/tpl/images/05/05/MfUrViVXxEsJhTeo.jpg)