It will have: (3420+360)/180 = 21 sides
The sum of the interior angles of a polygon is 2n - 4 right angles where n is the number of sides. When n = 21 then 2n - 4 = 42 - 4 = 38 right angles = 38 x 90 = 3420°. NOTE : If the polygon is a regular polygon then each interior angle measures 3420 ÷ 21 = 162.86°.
That would depend if it's a regular or an irregular polygon but in both cases all the interior angles add up to 3420 degrees
The sum of angles of a regular polygon: (n - 2)180 = 3,420 180n - 360 = 3,420 add 360 to both sides; 180n = 3,780 divide both sides by 180; n = 21 Thus a 21-side regular polygon has the sum of interior angles 3,420 degrees.
it equals to 3420 degrees
To determine the total number of degrees of any polygon, you can use the equation y=180x-360, where x is the number of sides. In your case, it would be y = 180(21) - 360, which equals 3420 degrees.
So, the Sum of the interior angles for a 21 – sided polygon is equal to 3420°.
The sum of the interior angles of a polygon is 2n - 4 right angles where n is the number of sides. When n = 21 then 2n - 4 = 42 - 4 = 38 right angles = 38 x 90 = 3420°. NOTE : If the polygon is a regular polygon then each interior angle measures 3420 ÷ 21 = 162.86°.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 3420 degrees
That would depend if it's a regular or an irregular polygon but in both cases all the interior angles add up to 3420 degrees
The sum of angles of a regular polygon: (n - 2)180 = 3,420 180n - 360 = 3,420 add 360 to both sides; 180n = 3,780 divide both sides by 180; n = 21 Thus a 21-side regular polygon has the sum of interior angles 3,420 degrees.
(n-2)*180 degrees where n is the number of sides. In this case, n = 21 so 19*180 = 3420 degrees.
180*(21-2) = 180*19 = 3420 degrees.
The sum is 3420 as the equation for every regular polygon is (n-2)*180 when n is number of sides
It will have 21 sides or a 21-gon
it equals to 3420 degrees
Using the diagonal formula when n is number of sides :- If: 0.5*(n^2-3n) = 189 Then multiplying both sides by 2 and subtracting both sides by 2*189 So: n^2-3n-378 = 0 Solving the above quadratic equation gives n a positive value of 21 Sum of interior angles: (21-2)*180 = 3420 degrees
sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°