SOLUTION: Find the value of each exterior angle in a regular decagon.

Algebra ->  Angles -> SOLUTION: Find the value of each exterior angle in a regular decagon.      Log On


   

Question 1173718: Find the value of each exterior angle in a regular decagon.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the exterior angles of any polygon is 360 degrees.

For a regular decagon (10 sides), the measure of each exterior angle is 360/10 degrees.

Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.

Decagon has 10 sides.


The sum of the interior angles of any convex polygon is  (n-2)*180  degrees, where n is the number of sides.



THEREFORE, for the regular decagon, the sum of its interior angles is  

    %2810-2%29%2A180 degrees = 8*180 degrees = 1440 degrees.



Hence, each individual interior angle is  1400/10 = 144  degrees.    ANSWER

Solved.