--------------------------
Each interior angle in a regular polygon = (n-2)×180 ÷ n** n = number of sidesI love algebra so i solved with it(n-2)×180÷n = 150(n-2) × 180 = 150 × n180 n × -360 = 150 n180 n - 150 n = 36030 n = 360n = 360 ÷ 30n = ...............14 sides in the polygon
It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
14 sides in the polygon
It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.
The interior angles of a regular polygon must be 60 degrees or greater.
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
Obtuse
If it's a regular polygon then each interior angle measures 120 degrees.
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
A 13 sided regular polygon
The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. This is true whether or not the polygon is regular.