What is the measure of an interior angle of a regular dodecagon?
- A120
∘ - B140
∘ - C150
∘ - D144
∘
Solution & Step-by-step Explanation
A regular dodecagon has n=12 equal sides.
The formula for the measure of each interior angle of a regular polygon with n sides is:
Interior Angle=
n
(n−2)×180
∘
Substituting n=12:
Interior Angle=
12
(12−2)×180
∘
Interior Angle=
12
10×180
∘
Interior Angle=10×15
∘
=150
∘
The formula for the measure of each interior angle of a regular polygon with n sides is:
Interior Angle=
n
(n−2)×180
∘
Substituting n=12:
Interior Angle=
12
(12−2)×180
∘
Interior Angle=
12
10×180
∘
Interior Angle=10×15
∘
=150
∘