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Is It Possible to Have a Polygon, Whose Sum of Interior Angle Is: 4500° - Mathematics

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Question

Is it possible to have a polygon, whose sum of interior angle is:  4500°

Sum

Solution

Let no. of sides = n

(n – 2) x 180° = 4500°

n – 2 = `4500/180`

n – 2 = 25

n = 25 + 2

n = 27

Which is a whole number.

Hence it is possible to have a polygon, the sum of whose interior angles is 4500°.

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Sum of Angles of a Polynomial
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Chapter 16: Understanding Shapes - Exercise 16 (A) [Page 180]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (A) | Q 4.4 | Page 180
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