Answer:
Step-by-step explanation:
I find it easiest to start with the exterior angles. Each exterior angle of a regular polygon is 360° divided by the number of sides. That is, the total of all exterior angles is 360°.
For a 6-sided regular polygon (hexagon), exterior angles are ...
360°/6 = 60° . . . . exterior angle measure
The interior angle measure is the supplement of the exterior angle measure:
180° -60° = 120° . . . . interior angle measure
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The total of interior angles is 180°(n -2), where n is the number of sides of the convex polygon. Then for a regular polygon of n sides, the interior angles are each ...
(180°)(n -2)/n = 180° -(360°/n) . . . . as above
