Two methods :_
1) The sum of the interior angles of a regular polygon is 2n - 4 right angles.
For a 14 sided polygon then (2 x 14) - 4 = 24 right angles = 24 x 90 = 2160°
Therefore each interior angle = 2160 ÷ 14 = 154.29° (2dp)
2) The external angle of a 14 sided regular polygon = 360 ÷ 14 = 25.71°
The interior angle = 180 - external angle = 180 - 25.71 = 154.29°
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
Each interior angle will measure 162 degrees
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
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.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
180 sides!
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
40 sides
A regular pentagon (5 sides)
It will have 10 equal sides
6
To find the number of sides of a regular polygon, you can use the formula: Number of sides = 360 degrees ÷ Measure of each interior angle. In this case, if one interior angle is 108 degrees, the regular polygon has 360 ÷ 108 = 3.33 sides. Since a polygon cannot have a fractional number of sides, we round down to the nearest whole number. Therefore, the regular polygon has 3 sides, which makes it an equilateral triangle.
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.