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ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

with Solutions - page 3
Qstn# B-6 Prvs-QstnNext-Qstn
  • #6
    Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
    Ans : Let each exterior angle or interior angle be = x°

    ∴ x + x = 180˚
    ⇒ 2x = 180˚
    ⇒ x = 90˚
    Now, let no. of sides = n
    ∵ Each exterior angle = 360˚/n
    ∴ 90˚ = 360˚/n
    ⇒ n = 360˚/90˚
    ⇒ n = 4