Question

if a regular polygon has exterior angles that measure \\(36^\circ\\) each, how many sides does the polygon have?

a. 6
b. 10
c. 8
d. 12

Explanation:

State the sum of exterior angles formula

$$ S_{\text{ext}} = 360^\circ $$

Set up the equation for the number of sides

$$ n \cdot 36^\circ = 360^\circ $$

Solve for n

$$ n = \frac{360^\circ}{36^\circ} = 10 $$

Answer:

• A. 6
• B. 10 (Correct answer)
• C. 8
• D. 12