In Fig. 5.14, POQ is a line. If x = 30°, then ∠QOR is

∠ POS, ∠ SOR & ∠ ROQ forms a linear pair
x + 5y = 180°
⇒ 5y = 150°
⇒ y = 30°
∠QOR = 3y
⇒ ∠QOR = 90°
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