Find the measures of each angle in the inscribed quadrilateral.
PQRS is a cyclic quadrilateral.
Since opp. angles are supplementary,
⇒∠P + ∠R = 180
⇒5y + 15 + 15y + 45 = 180
⇒20y + 60 = 180
⇒20y = 120
⇒y = 6
Thus,
∠P = 45°
∠Q = 111°
∠R = 135°
∠S = 360 - (45 +111+135) [Sum of all angles = 360°]
= 69º
+526 
