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.
-
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