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In the given figure, POS is a line, find the measure of ∠QOR.

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In the given figure, POS is a line, find the measure of ∠QOR.

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Here we are given that POS is a straight line

∠POQ + ∠QOR + ∠ROS = 180° (straight angle)

⇒ 60° + 5x – 20° + 40° = 180°

⇒ 5x + 80° = 180°

⇒ 5x = 100°

⇒ x = 20°

∠QOR = 5x – 20° 

= 5 x 20° – 20° = 80°

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