No.
The sum of the exterior angles of a polygon sum to 360o
For a regular polygon, they are all the same size
⇒ dividing 360o by the exterior angle gives the number of sides.
Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o
⇒ number of sides = 360o ÷ 26o = 1311/13 sides
But a polygon must have a whole number of sides
⇒ 154o cannot be the interior angle of a regular polygon.
45 degrees, which would be the interior angle of a equilateral triangle
Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.
Yes. Pentadecagon (15-sided polygon)
it should be less than 180
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
No.
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.
45 degrees, which would be the interior angle of a equilateral triangle
Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.
Yes. Pentadecagon (15-sided polygon)
it should be less than 180
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
160
An interior angle of 128 implies an exterior angle of 180-128 = 52 degrees. If so, the regular polygon has 360/52 sides ie 6.9 sides. A fractional side is not possible.
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
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.