Interior angle + Exterior angle = 180
So Interior angle = 180 - Exterior angle
Interior angle = 4*Exterior angle + 30
Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30
Collect like terms: 150 = 5*Exterior angle
Divide by 5: Exterior angle = 30 deg
Therefore number of sides = 360/30 = 12
An equilateral polygon is a polygon whose sides are all of the same measure. An equiangular polygon is a polygon whose angles are all of the same measure. A triangle is the only polygon where these two are effectively one and the same.. But it does not apply to polygons of 4 or more sides. A square and rhombus are equilateral but a rhombus is not equiangular. A square and rectangle are equiangular but a rectangle is not equilateral. This can be extended to all polygons with more than 4 sides but it is more difficult because they do not have distinctive names.
A rhombus has four sides of equal lengths. So it is an equilateral polygon. But it is not an equiangular. It's angles are not equal in measure.
A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.
Providing that it is a regular 12 sided polygon then each exterior angle measures 30 degrees
360 degrees
Measure it. There is no formula for an exterior angle unless you have a regular (or equiangular) polygon. And there is no evidence to suggest that that is the case.
All the angle have the same measure.
The interior and exterior angles would change.
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
if the measure of each interior angle of a polygon is 150 degrees how amny sides does it have?
An equilateral polygon is a polygon whose sides are all of the same measure. An equiangular polygon is a polygon whose angles are all of the same measure. A triangle is the only polygon where these two are effectively one and the same.. But it does not apply to polygons of 4 or more sides. A square and rhombus are equilateral but a rhombus is not equiangular. A square and rectangle are equiangular but a rectangle is not equilateral. This can be extended to all polygons with more than 4 sides but it is more difficult because they do not have distinctive names.
Equiangular Polygon Conjecture - You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:1.) 180 (n-2) divided by n2.) 180 - (360 / n)
An equiangular polygon. NOT a regular polygon which requires that all the sides are also of the same length.
Yes, a regular polygon is always equiangular.
The exterior angles of any polygon add up to 360 degrees
A rhombus has four sides of equal lengths. So it is an equilateral polygon. But it is not an equiangular. It's angles are not equal in measure.
A regular 10 polygon