In the given figure, find x and also find ∠POS. – InterviewSolution

1.

In the given figure, find x and also find ∠POS.

Answer»

∠POS + ∠SOR + ∠ROQ = 180° (Straight angle)

(x + 45°) + x + (x + 30°) = 180°

⇒ 3x + 75° = 180°

⇒ 3x = 105°

⇒ x = 35°

∠POS = (x + 45°)

= (35° + 45°) = 80°

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