Question

In a quadrilateral PQRS , if ∠P=60°, ∠Q:∠R:∠S = 2:3:7 then ∠S is:
a)175°
b) 210°
c)135°
d)150°

Answer 1

Step-by-step explanation:

Let ∠Q = 2x, ∠R = 3x and ∠S = 7x

Now, ∠P + ∠Q + ∠R + ∠S = 360°

⇒ 60° + 2x + 3x + 7x = 360°

⇒ 12x = 300°

⇒ x = 300°/ 12 = 25°

∠S = 7x = 7 × 25° = 175°