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Find X in the Following Case: - Mathematics

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Question

Find x in the following case:

Sum

Solution

In the figure,

∵ Lines are parallel

∴ 4x + 1 = 180° .........(co-interior angles)

But ∠1 = 5x ........(vertically opposite angles)

∴ 4x + 5x = 180°

⇒ 9x = 180°

Hence x =`(180°)/9` = 20°

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Properties of Parallel Lines
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Chapter 14: Lines and Angles (Including Construction of angles) - Exercise 14 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (B) | Q 8.2
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