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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

∴ ∠1 + 2x = 20° .........(alternate angles)

But ∠1 + 3x + 25° = 180° ........(linear pair)

⇒ 2x + 20° + 3x + 25° = 180°

⇒ 5x + 45° = 180°

⇒ 5x = 180°− 45° = 135°

∴ x =`(135°)/5` = 27°

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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 8.5
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