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Is It Possible to Have a Regular Polygon Whose Exterior Angle Is: 36° - Mathematics

Sum

Is it possible to have a regular polygon whose exterior angle is: 36°

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Solution

Let no. of. sides = n

Each exterior angle = 36°

= `360^circ/"n" = 36^circ`

∴ n = `360^circ/36^circ`

n = 10

Which is a whole number.

Hence, it is not possible to have a regular polygon whose each exterior angle is 36°.

Concept: Regular Polynomial
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 5.2
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