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ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

with Solutions - page 4
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  • #11
    The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.
    Ans : Let number of sides = n
    Sum of exterior angles = 360°
    Sum of interior angles = 360° × 2 = 720°
    Sum of interior angles = (n - 2) × 180°
    720° = (n - 2)× 180°
    ⇒ n - 2 = 720/180
    ⇒ n - 2 = 4
    ⇒ n = 4 + 2
    ⇒ n = 6