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Thursday, 14 May 2026
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Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the ...

Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the remaining exterior angles are 46\(^o\) each, name the polygon.
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  • A Decagon
  • B Nonagon
  • C Octagon
  • D Hexagon
Correct Answer: Option C
Explanation:
Sum of all exterior angles is 360\(^o\)
360\(^o\) (30\(^o\) - 40\(^o\))
360 - (130\(^o\))
230\(^o\)
remaining is 46\(^o\) = \(\frac{230}{46}\) = 5
5 + 3 = 8 sides; Octagon

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