1800= (n-2)180, 1800= 180n-360, 1800+360= 2160, 2160 divided by 180 = 12
It is given by the formula (number of sides - 2) * 180 degrees.
36 sides
Each external angle is equal to 360/n degrees where n is the number of sides (or angles) of the polygon. So the external angle is inversely proportional to the number of sides.
Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.
By dividing the number of its sides into 360 degrees
If one interior angle is 165 degrees, find the number of sides of the polygon.
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
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.
Each interior angle of the polygon is 150 degrees. Each exterior angle of the polygon is 180-150= 30 degrees. Number of sides of this polygon is 360/30 12. Hence , number of sides are 12.
It is given by the formula (number of sides - 2) * 180 degrees.
36 sides
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.
Each external angle is equal to 360/n degrees where n is the number of sides (or angles) of the polygon. So the external angle is inversely proportional to the number of sides.
If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.
The number of sides of such a polygon is 22. 11n = 180 degrees.
Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.