Question
The size of an exterior angle of a regular polygon is 40^circ Therefore, the polygon has __ sides. 4 8 9 10 1 pont
Solution
4.6
(268 Votos)
Miro
Elite · Tutor por 8 anos
Resposta
The polygon has 9 sides.
Explicação
## Step 1The sum of the exterior angles of any polygon is always
. This is a fundamental property of polygons.## Step 2Given that the size of an exterior angle of a regular polygon is
, we can find the number of sides of the polygon by dividing the total sum of the exterior angles by the size of one exterior angle.### **Number of sides =
**## Step 3Perform the division to find the number of sides.