Is It Possible to Have a Regular Polygon Whose Interior Angle is : 170° - Mathematics

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Sum

Is it possible to have a regular polygon whose interior angle is : 170°

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Solution

No. of sides = n

each interior angle = 170°

`therefore ("n" - 2)/"n" xx 180^circ = 170^circ`

180n - 360° = 170n

180n - 170n = 360°

10n = 360°

n = `(360°)/10`

n = 36

which is a whole number.

Hence it is possible to have a regular polygon

whose interior angle is 170°

Concept: Regular Polynomial
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Chapter 16: Understanding Shapes - Exercise 16 (B) [Page 184]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 4.1 | Page 184
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