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Is It Possible to Have a Regular Polygon Whose Exterior Angle Is: 100° - Mathematics

Sum

Is it possible to have a regular polygon whose exterior angle is: 100°

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Solution

Let no. of. sides = n

Each exterior angle = 100°

= `360^circ/"n" = 100^circ`

∴ n = `360^circ/100^circ`

n = `18/5`

Which is not a whole number.

Hence, it is not possible to have a regular polygon whose each exterior angle is 100°.

Concept: Regular Polynomial
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 5.1
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