For a regular polygon the angle between adjacent sides A = 180 - 360/n
where n = number of sides and A = the interior angle.
Written to solve for n:
n = 360/(180-A) = 160/(180-120) = 360/60 = 6 sides.
A formula for this question is that the total measure of the interior angles of a polygon is 180 degrees multiplied by 2 less than the number of sides. For a seven sided polygon, this formula yields 180 X 5 = 900 degrees.
the formula for the measure of the interior angles of a polygon is:180(n-2), where n is the number of sides. 180(14-2)=180x12=2160 degrees
A polygon with interior angles that sum to 900 degrees is a nonagon, which has 9 sides. The formula for the sum of interior angles of a polygon is given by ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. Setting this equal to 900 degrees, we find ( n = 9 ). Therefore, a polygon with a sum of interior angles of 900 degrees is a nonagon.
If it's a regular polygon then each interior angle measures 120 degrees.
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=9, then the answer is that the interior angle = 140The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 9, then the answer is that the exterior angle = 40
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=18, then the answer is that the interior angle = 160The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 18, then the answer is that the exterior angle = 20
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
it's a heptagon
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
To find the number of sides in a polygon based on its degree measure, you can use the formula that relates the interior angle sum to the number of sides: the sum of the interior angles of an n-sided polygon is given by ( (n-2) \times 180 ) degrees. For a polygon with a total interior angle measure of 3240 degrees, you set up the equation: ( (n-2) \times 180 = 3240 ). Solving for n gives ( n = 20 ). Therefore, a polygon with a total interior angle measure of 3240 degrees has 20 sides.
The interior angles of an octagon add up to 1080 degrees