Total 1440o; if regular, each angle = 144o
Interior angles total 2520 degrees
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees
Total of interior angles of an n-sided polygon is 180n -360 or (2n -4) right angles. If the polygon is regular then each angle is the total obtained above divided by n.
The sum of the exterior angles of any polygon is 360 degrees.
Quadrilateral
Total 1440o; if regular, each angle = 144o
There is no polygon with a total angle measure of 200 degrees. The sum of angle measures of a polygon equals to [180 degrees(n - 2)], where n is the number of its sides and n is at least 3.
Interior angles total 2520 degrees
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees
To find the total degrees of a polygon take the number of sides n:(n-2) * 180which means that the total degrees is 540 and the measure of each angle is 108
Total of interior angles of an n-sided polygon is 180n -360 or (2n -4) right angles. If the polygon is regular then each angle is the total obtained above divided by n.
The sum of the exterior angles of any polygon is 360 degrees.
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 size of an angle in a polygon depends on the number of sides the polygon has. The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. To find the measure of each interior angle in a regular polygon (where all angles are equal), divide the total sum by the number of sides. For example, a triangle has a total interior angle sum of ( 180^\circ ), while a quadrilateral has ( 360^\circ ).
Total exterior angles of any polygon = 360 deg. In this case there are 6 exterior angles, so each angle is 60 deg.