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In the Below Fig, Pos is a Line, Find X. - Mathematics

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In the below fig, POS is a line, find x.

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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°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.2 | Q 10 | Page 15

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