Question

If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is

• A. 10
• B. 12
• C. 9
• D. 8

Hint:

The number of sides of a regular polygon can be found by dividing 360° by the measure of the exterior angle.

Answer 1

The Correct Option is A

The sum of the exterior angles of any polygon is \( 360^\circ \). For a regular polygon, the exterior angle is the same for each side, so the number of sides \( n \) is given by: \[ n = \frac{360^\circ}{\text{exterior angle}} = \frac{360^\circ}{36^\circ} = 10. \]