Answer:
Step-by-step explanation:
The opposite angles of a quadrilateral inscribed in a circle are supplementary. This means that the sum of the angles is 180 degrees. Therefore,
Angle Q + Angle S = 180°
Angle P + Angle R = 180°
Therefore,
5y + 40 + 15y + 60 = 180
5y + 15y + 40 + 60 = 180
20y + 100 = 180
20y = 180 - 100
20y = 80
y = 80/20
y = 4
Therefore,
Angle P = 5y + 40 = 5 × 4 + 40 = 60°
Angle R = 15y + 60 = 15 × 4 + 60 = 120°
Angle Q = y² + 95 = 4² + 95 = 111°
Angle S = 180 - 111 = 69°
