What is the measure of an interior angle of a regular decagon?
- A120
∘ - B140
∘ - C144
∘ - D150
∘
Solution & Step-by-step Explanation
A regular decagon has n=10 sides.
The formula for the measure of each interior angle of a regular polygon with n sides is:
Interior Angle=
n
(n−2)×180
∘
Substitute n=10:
Interior Angle=
10
(10−2)×180
∘
Interior Angle=
10
8×180
∘
=8×18
∘
=144
∘
The formula for the measure of each interior angle of a regular polygon with n sides is:
Interior Angle=
n
(n−2)×180
∘
Substitute n=10:
Interior Angle=
10
(10−2)×180
∘
Interior Angle=
10
8×180
∘
=8×18
∘
=144
∘