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In the Case Given Below, Find the Value of X So that Poq is Straight Line - Mathematics

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Question

In the case given below, find the value of x so that POQ is straight line

Sum

Solution

∵ POQ is a straight line

∴ ∠POL + ∠LOQ = 180°  

⇒ `"7x"/11 + "x" = 180^circ`

⇒ `("7x" + "11x")/11 = 180°`

⇒ `"18x"/11 = 180°`

⇒ x = `(180° xx 11)/18` = 110°

∴ x = 110°

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Measure of Line Segment
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Chapter 25: Properties of Angles and Lines (Including Parallel Lines) - Exercise 25 (E)

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Selina Mathematics [English] Class 6
Chapter 25 Properties of Angles and Lines (Including Parallel Lines)
Exercise 25 (E) | Q 7.2
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