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Find the Number of Sides in a Regular Polygon, If Its Interior Angle Is: 160° - Mathematics

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Question

Find the number of sides in a regular polygon, if its interior angle is: 160°

Sum

Solution

Let no.of.sides of regular polygon be n.

Each interior angle = 160°

`therefore ("n" - 2)/"n" xx 180^circ = 160^circ`

180n - 360° = 160n

180n - 160n = 360°

20n = 360°

n = 18

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Regular Polynomial
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Chapter 28: Polygons - Exercise 28 (B)

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Chapter 28 Polygons
Exercise 28 (B) | Q 2.1
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Exercise 16 (B) | Q 2.1 | Page 184

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