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Is It Possible to Have a Regular Polygon Whose Each Exterior Angle Is: 40° of a Right Angle. - Mathematics

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Question

Is it possible to have a regular polygon whose each exterior angle is: 40° of a right angle.

Sum

Solution

Let the number of sides = n

Each exterior angle = 40% of a right angle

`= 40/100 xx 90`

= 36°

n = `360^circ/36^circ`

n = 10

Which is a whole number.
Hence it is possible to have a regular polygon whose exterior angle is 40% of the right angle.

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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 5.2 | Page 184
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