Problem

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

Solution

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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Source: https://solvelyapp.com/problems/10980/

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