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Given ∠Por = 3x and ∠Qor = 2x + 10, Find the Value of X for Which Poq Will Be a Line. (Below Fig). - Mathematics

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Given ∠POR = 3x and ∠QOR = 2x + 10, find the value of x for which POQ will be a line.
(Below fig).

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Solution

Since `∠`QOR, `∠`POP are linear pairs

`∠`QOR + `∠`POR = 180°

2x +10 + 3x = 180°                    [ ∴ `∠`QOR = 2x +10, `∠`POR = 3x]

⇒ 5x +10 = 180°

⇒ 5x = 180° -10

 5x = 170°

⇒ x = 34°

 

 

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 12 | Page 15

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