Answer:
Please read the explanied answer below.
Step-by-step explanation:
- As we know that polygon is a shape that consists of at least three sides.
- The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]
We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
- Exterior angle = 360° ÷ No. of sides
When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72
°
360° ÷ 6 = 60
°
360° ÷ 8 = 45
°
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
