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Question
In the below fig, POS is a line, find x.
Solution
Since `∠`POQ and `∠`QOS are linear pairs
`∠`POQ + `∠`QOS = 180°
⇒ `∠`POQ + `∠`QOR + `∠`SOR = 180°
⇒ 60° + 4x° + 40° = 180°
⇒ 4x° = 180° -100°
⇒ 4x° = 80°
⇒ x = 20°
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