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What type of polygon must you have to find out the sum of interior angles?
Wiki User
∙ 14y ago
any polygon
Wiki User
∙ 14y ago
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Are there 300 degrees in the sum of the interior angles of a polygon?
No - the interior angles of a polygon must total at least 360 degrees.
Can a polygon have only one interior?
No it must have 3 or more interior angles
How many sides does a regular polygon have if its interior angles are all 15 degrees?
The interior angles of a regular polygon must be 60 degrees or greater.
What is the sum of the measures of the interior angles of a 1 sided polygon?
There is no such polygon because a polygon must have 3 or more sides.
What polygon has a sum of exterior angles which is 15 times its interior angle sums?
There can be no such polygon. The sum of exterior angles of any polygon is 360 degrees. If the sum of the exterior angles is 15 times the sum of the interior angles, then the sum of the interior angles must be 360/15 = 24 degrees. Now, the sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 24 That is, (n-2) = 24/180 = 0.133... and so n = 2.133...sides But n must be an integer and it must be greater than or equal to 3.
Is there a minimum number of acute interior angles that any polygon can have?
Although a triangle must have at least two acute interior angles, a square has four interior right angles and no acute angles. And as regular polygons have increasing numbers of sides, their interior angles get larger.
Which polygon must have four equal angles?
A square or a rectangle both have 4 equal interior angles of 90 degrees
How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
What is the sum of the measures of the interior angles of a regular of a regular polygon if each exterior angle measures 120?
If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle
What is the sum of the interior angles of a polygon is three times the sum of the exterior?
Sum of the exterior angles is 360 degrees. So the sum of the interior angles must be 3*360 = 1080 degrees.
Is a star shape an irregular polygon?
Not all are. Not only is it a concave shape, but the interior angles can vary. For a polygon to be regular, it must be equilateral and equiangular.
Why do you subtract 2 from n to find the sum of interior angles?
This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.
