A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
999999
The sum of the exterior angles of a polygon is 360o. For a regular polygon, these are all equal. For an interior angle of 168o the exterior angle is 180o - 168o = 12o Therefore number of sides = 360o / 12o = 30.
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
let n be the number of sides on the regular polygon (180*(n-2)) / n = Interior angle = 720 / 6 = 120 External Angle = 360 - [Interior Angle] 360 - 120 = 240 however in some cases the exterior angle will be 180 - [interior angle] 180 - 120 = 60 , if this is for homework it depends on how your teacher has taught you
A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
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.
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
168
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees
The smallest regular polygon, an equilateral triangle, has interior angles of 60. A square has interior angles of 90. There can't exist a regular polygon with interior angles of 30.
Exterior angles are supplementary with interior angles, so 180-30=150
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
1800 degrees
999999
There is a formula which can help.The sum of the interior angles of a polygon is 2n - 4 right angles.When n = 12 then the interior angles total (2 x 12) - 4 = 24 - 4 = 20 right angles.Then for a regular polygon, each angle measures (20 x 90) / 12 = 150°.When the polygon is a regular polygon then it is perhaps quicker to calculate the external angle from which the interior angle can then be determined.Exterior angle = 360 /12 = 30°Interior angle = 180 - 30 = 150°