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Is It Possible to Have a Regular Polygon Whose Each Exterior Angle Is: 80° - Mathematics

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Question

Is it possible to have a regular polygon whose each exterior angle is: 80°

Sum

Solution

Let no. of sides = n each exterior angle = 80°

`360^circ/"n" = 80^circ`

`"n" = 360^circ/80^circ`

n = `9/2`

Which is not a whole number.
Hence it is not possible to have a regular polygon whose each exterior angle is of 80°

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

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 5.1 | Page 184
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