Total central angle = 360 degrees. Each angle = 30 degrees so number of angles = 360/30 = 12.
So the polygon would have 12 sides.
Each side subtends a central angle of 30 degrees.
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
51º per interior angle
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?
Providing that it is a regular polygon then each interior angle will measure 160 degrees
Each central angle is (360) divided by (number of sides in the polygon).
6
the center angle of any polygon is 360 degrees
Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees
36
The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================
To calculate the measure of a central angle of a regular nine-sided polygon, divide 360 degrees by the number of sides. In this case, divide 360 by 9. The measure of the central angle of a regular nine-sided polygon is 40 degrees.
30
40
20
36
360 degrees