Question

in a quadrilateral PQRS angle P is 120 degree angle Q is equal to angle R is eqaul to angle S find angle Q angle R and angle S​

Answer 1

Answer:

∠Q = ∠R = ∠S = 80°

Step-by-step explanation:

In PQRS, ∠P = 120°

              ∠Q = ∠R = ∠S----------- (given)

∠P + ∠Q + ∠R + ∠S = 360°----------(angles of a quadrilateral)

120 + ∠Q + ∠Q + ∠Q = 360°-----------(∠Q = ∠R = ∠S)

3∠Q = 360 - 120

∠Q = 240/3

∠Q = 80°

Therefore, ∠Q = ∠R = ∠S = 80°