Respuesta :

Answer:

144

Step-by-step explanation:

x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees

Step-by-step explanation:

The exterior angle of a regular n-sided polygon is given by

Exterior angle = 360/n  

The interior angle is therefore the supplement of the exterior angle,

Interior angle = 180 - 360/n

for n=10, decagon,

Interior angle of a decagon = 180 - 360/10 = 180-36 = 144 degrees