Three exterior angles of a polygon are 30°, 40° and 60°. If the remaining exterior...
MATHEMATICS
WAEC 2017
Three exterior angles of a polygon are 30°, 40° and 60°. If the remaining exterior angles are 46° each, name the polygon.
- A. decagon
- B. nonagon
- C. octagon
- D. hexagon
Correct Answer: C. octagon
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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