50 POINTS! Based on the data in Question 3, do you observe a relationship between these pairs of angles for quadrilateral BCDE inscribed in circle A? If so, explain.

-consecutive interior angles of the quadrilateral
-opposite interior angles of the quadrilateral
-adjacent central angles
-opposite central angles

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed