Find the measures of each angle in the inscribed quadrilateral.
~ please help, also no absurd answers please : ) ~

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°

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

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step-by-step explanation: