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Find X, Y and P is the Given Figure - Mathematics

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Question

Find x, y and p is the given figure

Sum

Solution

In the figure,

∵ Lines are parallel

∴ y = 110° .........(corresponding angles)

But 25° + p + 110° = 180° .........(angles on a line)

⇒ p + 135° = 180°

⇒ p = 180°− 135° = 45°

⇒ x + y + 25° = 180° ......(sum of angles of a triangle)

⇒ x + 110° + 25° = 180°

⇒ x + 135° = 180°

⇒ x = 180°− 135° = 45°

Hence x = 45°, y = 110° and p = 45°

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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 7.2
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