Question

How to calculate angle a in a regular decagon

Answer 1

Answer:

To find the measure of the central angle of a regular decagon, make a circle in the middle... A circle is 360 degrees around... Divide that by ten angles... So, the measure of the central angle of a regular decagon is 36 degrees.

Answer 2

Answer:

144°

Step-by-step explanation:

angle in a regular polygon with n sides = (n-2) × 180°

=> angle in a regular decagon = (10-2) × 180° = 144°

ALTERNATE METHOD

central is a total of 360°

=> for a decagon, central angle will be 360/10 = 36°

=> required angle of a  regular decagon = (180-36)° = 144 °

ANS: 144°