Each of the interior angles of a regular polygon is 150°. How many sides does the polygon have?
Each of the interior angles of a regular polygon is 150°. How many sides does the polygon have?
- Posted:
- 3+ months ago by snowfox05...
- Topics:
- interior, side, angle
Details:
Responses (1)
The exterior angle is the supplement of the interior angle, so it is 30°. Now if you slide a ruler around the figure you see that it rotates 360°. So all the exterior angles must sum to 360° no matter what. Given a regular polygon, all the exterior angles are equal. So 360/30=12 sides.