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In the figure, find the value of x. - Mathematics

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Question

In the figure, find the value of x.

Sum

Solution

We observe that, the given figure is a pentagon.

Now, we know that, sum of all the exterior angles of a pentagon is 360°.

∴ 92° + 20° + 85° + x + 89° = 360°

⇒ 286° + x = 360°

⇒ x = 360° – 286° 

⇒ x = 74°

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 160]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 169 | Page 160

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