Quadrilateral
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.
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
Since the amount of sides of a polygon is equal to the amount of angles, we have:144x = total anglesThe total measure of each angle is determined by 180(x - 2), by splitting it into several triangles. Thus:144x = 180(x - 2)144x = 180x - 360360 = 36xx = 10This polygon has 10 sides (a decagon).
Total central angle = 360 degrees. Each angle = 30 degrees so number of angles = 360/30 = 12. So the polygon would have 12 sides.
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
triangle
A kite is a polygon with four total sides (quadrilateral)
A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
Total exterior angles of any polygon = 360 deg. In this case there are 6 exterior angles, so each angle is 60 deg.
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.Very easy when you know the formula!