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In the Given Figure, the Value Of Y Is - Mathematics

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Question

In the given figure, the value of y is

Options

  • 20°

  • 30°

  • 45°

  • 60°

MCQ

Solution

In the given figure, x°and  y°are vertically opposite angles, therefore, these must be equal.

That is,

  x =y         ...(i)

Also, 2x°, y°and 3x° form a linear pair. Therefore, their sum must be supplementary.

That is,

2x + y + 3x = 180°

From (i) equation, we get:

2x + x +3x = 180°

6x = 180°

`x = (180°) /6`

x = 30°

From (i) equation again,

 y =30°

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Chapter 10: Lines and Angles - Exercise 10.6 [Page 51]

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RD Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.6 | Q 7 | Page 51
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