The interior angles of a polygon are 3x\(^o\), 2x\(^o\), 4x\(^o\), 3x\(^o\) and 6x\(^o\). Find the size of the smallest angle of the polygon.
A
80\(^o\)
B
60\(^o\)
C
40\(^o\)
D
30\(^o\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
3\(x^o\) + 2\(x^o\) + 4\(x^o\) + 3\(x^o\) + 6\(x^o\) = 540\(^o\)
\(\frac{18x^o}{18} = \frac{540^o}{18}\)
\(x^o\) = 30\(^o\)
Smallest angle = 2 x 30\(^o\) = 60\(^o\)
Source: Myschool Past Questions Archive (Record #57323)