Question

Может ли сумма углов n- угольника равняться 720 градусов ? Почему?

Answer 1

Да может, например в 15-угольнике

Answer 2

Да. Сумма углов правильного n-угольника вычисляется по формуле. 180*(n-2). 180*(n-2)=720; n-2=4n=6. У правильного шестиугольника сумма углов = 720 градусов.

Answer 3

Can the sum of the angles of an n-sided polygon be equal to 720 degrees? Why?

Yes, the sum of the angles of an n-sided polygon can be equal to 720 degrees. The sum of the interior angles of any polygon can be calculated using the formula (n-2) * 180 degrees, where n represents the number of sides of the polygon. Therefore, if we substitute n with the appropriate value, we can determine if the sum of the angles is equal to 720 degrees.

For example, let's consider a hexagon (a polygon with six sides). Using the formula, we can calculate the sum of the interior angles as follows:

(6-2) * 180 = 4 * 180 = 720 degrees.

Therefore, in the case of a hexagon, the sum of the angles is indeed equal to 720 degrees.

This formula can be applied to any polygon, and if the resulting value is 720 degrees, then the sum of the angles of that polygon will be equal to 720 degrees.

Note: It is important to remember that this formula only applies to polygons with straight sides and angles. It does not apply to polygons with curved sides or angles.