Quadrilateral opqr is inscribed in circle n. which of the following could be used to calculate the measure of ∠ pqr? circle n is shown with a quadrilateral opqr inscribed inside it. angle o is labeled x + 16. angle q is labeled 6x - 4. angle r is labeled 2x + 16 a. (6x − 4)° + (2x + 16)° = 180° b. (x + 16)° + (6x − 4)° = 180° c. (6x − 4)° + (2x + 16)° = 360° d. (x + 16)° + (6x − 4)° = 360°

The answer is the option b, which is: b. (x+16)°+(6x−4)°=180°  to solve this problem you must apply the proccedure shown below:   by definition, you have that the sum of the opposite angles of a quadrilateral is 180 degrees, therefore, you have that the opposite angle of angle o is the angle p. therefore, the sum of both angles is:   (x+16)°+(6x−4)°=180°  therefore, the answer is the option mentioned above.