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Is It Possible to Have a Polygon, Whose Sum of Interior Angles is 1030°. - Mathematics

Sum

Is it possible to have a polygon, whose sum of interior angles is 1030°.

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Solution

Let no. of. sides be = n

Sum of interior angles of polygon = 1030°

∴ (2n - 4) × 90° = 1030°

⇒ 2(n - 2) = `(1030°)/(90°)`

⇒ (n - 2) = `(1030°)/(2 xx 90°)`

⇒ (n - 2) = `103/18`

⇒ n = `103/18 + 2`

⇒ n = `139/18`

Which is not a whole number. Hence it is not possible to have a polygon, the sum of whose interior angles is 1030°.

Concept: Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (A) | Q 4
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