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ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

with Solutions - page 5
Qstn# B-12-i Prvs-QstnNext-Qstn
  • #12-i
    its each interior angle, (ii) its each exterior angle (iii) the number of sides in the polygon. (ii) its each exterior angle (iii) the number of sides in the polygon.
    Ans : each interior angle = 140Ëš (ii) each exterior angle = 180Ëš - 140Ëš = 40Ëš (iii) Let no. of sides = n
    ∴ 360˚/n = 40˚
    ⇒ n = 360˚/40˚ = 9
    ⇒ n = 9
    ∴ (i) 140˚ (ii) 9 (ii) each exterior angle = 180˚ - 140˚ = 40˚ (iii) Let no. of sides = n
    ∴ 360˚/n = 40˚
    ⇒ n = 360˚/40˚ = 9
    ⇒ n = 9
    ∴ (i) 140˚ (ii) 9
  • #12-ii
    its each exterior angle
    Ans : each exterior angle = 180Ëš - 140Ëš = 40Ëš
  • #12-iii
    the number of sides in the polygon.
    Ans : Let no. of sides = n
    ∴ 360˚/n = 40˚
    ⇒ n = 360˚/40˚ = 9
    ⇒ n = 9
    ∴ (i) 140˚ (ii) 9