Question

In quadrilateral PQRS, if P = 60o

and Q: R: S = 2:3: 7 then find the value of S.

Answer 1

Answer:

175°

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°

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