SSC CPO SI and ASI 2016 Paper

Question : 131 of 200

Marks: +1, -0

PQRS is a cyclic quadrilateral, such that ratio of measures of ∠P, ∠Q and ∠R is 1 : 3 : 4, then the measure of ∠S is

Solution:

(3)

Let ∠P, ∠Q and ∠R be x, 3x and 4x, respectively, then

∠ P+∠ R=180°

⇒ x+4 x=180°

⇒ x=36°

So,

∠ S=180°-∠ Q

=180°-3 × 36°=72°

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