If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.
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
Each side subtends a central angle of 30 degrees.
168
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
The sum of all 30 interior angles would equal 5040*.
Exterior angle: 12 degrees Interior angle: 168 degrees
Exterior angle: 360/12 = 30 degrees Interior angle: 180-30 = 150 degrees
12 sided regular polygon.
168 degrees
cut the angle of a decagon in half the cut angle for equal sides is 30 degrees on each end take 180 degrees divide bt # of sides and this will give you the cut angle for any euqal sided shape
a 30 sided shape
Each exterior angle measures 30 degrees Each interior angle measures 150 degrees
If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.
It is a triacontagon, or 30-sided shape.The formula for one interior angle of a regular n-sided polygon is 180(n-2)/nwhere 180 (28) / 30 = 168*You can QUICKLY and EASILY find the answer using the formula for one exterior angle : it is 360/n360/30 = 12 and the interior angle is 180-12 = 168.The algebraic equation is(180-168) n = 360