Answer:
Exterior angles of dodecagon measure 30^o.
Explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of N-sided regular polygon equals to
(N-2)*180^o.
Therefore, sum of interior angles of 12-sided polygon is
(12-2)*180^o=1800^o
All 12 interior angles of dodecagon are equal, so each is
1800^o/12=150^o
A supplementary exterior angle, therefore, equals to
180^o-150^o=30^o
Step-by-step explanation:
