Question

PLEASE HELP!!!!! Geometry

Answer 1

Answer:

P = 49°

R = 131°

Q = 114°

S = 66°

Step-by-step explanation:

in a quadrilateral inscribed in a circle, the opposite angles are always supplementary, meaning they add up to 150

we are given opposite angles P and R (S is not given so we can't use Q and S)

P+R = 180

5y+14 + 15y + 26 = 180

20y + 40 = 180

20y = 140

y = 7

so...

P = 5(7) + 14 = 35 + 14 = 49

R = 180-49 (since opposite angles in inscribed quadrilaterals are supplementary) = 131

Q = (7)^2 + 65 = 49 + 65 = 114

S = 180-114 = 66