Question

if a cycllic quadrilateral PQRS. if P - R = 50° THEN FIND P

Answer 1

P + R =180
P - R = 50

2P = 230

p = 115 °

R = 65°

Answer 2

Answer


As we know that in a cyclic quadrilateral sum of opposite angle = 180 °


then

Angle P + Angle R = 180° ..........(i)


Also given

Angle P - Angle Q = 50° ..........(ii)



Then by adding equation i and ii


we get


2 Angle P = 230°


=> Angle P = 115°


Also

Angle R = 180° - Angle P

=> Angle R = 180° - 115°

=> Angle R = 65°



Hope it helps