Answer:
Exterior angle of a decagon will be 36°
Step-by-step explanation:
Measure of all interior angles of a polygon is represented by (n - 2)×180°
where n is the number of sides of the polygon.
Now we have to calculate the exterior angle of a regular decagon.
As we know exterior angle of polygon is supplementary of the interior angle.
So we will calculate interior angle first.
Sum of interior angles of decagon = (n - 2)×180° = 8×180° = 1440°
Since decagon is regular so all angles will be same.
So one angle of decagon = 1440 ÷ 10 = 144°
Now exterior angle = 180 - 144 = 36°
Each exterior angle of a decagon will be 36°.
