30
Total central angle = 360 degrees. Each angle = 30 degrees so number of angles = 360/30 = 12. So the polygon would have 12 sides.
if the interior angle is 150 the exterior angle equals 30. since exterior angle equals 360/ by number of sides the number of sides equals 360/30 which equal 12
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.
If each exterior angle is 30 degrees the polygon has 360/30 = 12 sides.
It will have 360/30 = 12 sides
It has 360/30 = 12 sides
360/30 = 12 sides
A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
12 sides
It has 360/30 = 12 sides
If it is a regular polygon then it will have 360/12 equals 30 sides
12
It will have 12 sides and it is a dodecagon
If its a regular polgon and each exterior angle is 30 degrees then it will have 360/30 = 12 sides
360/30 = 12 sides