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ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

with Solutions - page 5
Qstn# B-20 Prvs-QstnNext-Qstn
  • #20
    The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.
    Ans : Sum of interior angles = 3 x Sum of exterior angles
    Let exterior angle = x
    The interior angle = 3x
    x + 3x=180°
    ⇒ 4x = 180°
    ⇒ x = 180˚/4
    ⇒ x = 45°
    Number of sides = 360/45 = 8