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Is It Possible to Have a Polygon, Whose Sum of Interior Angle is : 2340° - Mathematics

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Sum

Is it possible to have a polygon, whose sum of interior angle is: 2340°

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Solution

Let no. of sides = n

Sum of angles = 2340°

(n – 2) x 180° = 2340°

n – 2 = `2340/180`

n – 2 = 13

n = 13 + 2 = 15

Which is a whole number.

Hence it is possible to have a polygon, the sum of whose interior angles is 2340°.

Concept: Sum of Angles of a Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (A) | Q 4.2 | Page 180
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