# 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°.

#### 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
Is there an error in this question or solution?

#### APPEARS IN

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