Problem

Find the measure of the central angles of a regular polygon with 18 sides.
A. 40
B. 20
C. 10
D. 30

Answer

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Answer

\( \boxed{40} \)

Steps

Step 1 ：Find the measure of the central angles of a regular polygon with 18 sides using the formula: \( Central \ Angle = \frac{(n - 2) * 180}{n} \) where n is the number of sides of the polygon.

Step 2 ：Plug in n = 18: \( Central \ Angle = \frac{(18 - 2) * 180}{18} = \frac{16 * 180}{18} = 40 \)

Step 3 ：\( \boxed{40} \)

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