Answer:
121°
Step-by-step explanation:
Angle AQD can be considered to be a sort of degenerate inscribed angle in which the circle intercept at Q is coincident with the vertex at Q. As an inscribed angle, it has half the measure of the central angle it intercepts. That central angle is reflex angle QOA, corresponding to arc QPA, which has a measure of 242°.
∠AQD = 242°/2 = 121°
