What is the measure of an exterior angle of a regular dodecagon?
- A45
∘ - B40
∘ - C36
∘ - D30
∘
Solution & Step-by-step Explanation
A regular dodecagon has n=12 sides.
The sum of all exterior angles of any convex polygon is always 360
∘
.
For a regular polygon, each exterior angle is equal and given by the formula:
Exterior Angle=
n
360
∘
Substituting n=12:
Exterior Angle=
12
360
∘
=30
∘
The sum of all exterior angles of any convex polygon is always 360
∘
.
For a regular polygon, each exterior angle is equal and given by the formula:
Exterior Angle=
n
360
∘
Substituting n=12:
Exterior Angle=
12
360
∘
=30
∘