Solve to the nearest degree the size of each angle of a regular heptagon
the sum of the angles of an n-gon is 180° * (n-2). So, you know that if each angle is x, then
7x = 5*180 = 900°
x = 900/7 = 128.57°
so round that to the nearest whole number.
To find the size of each angle of a regular heptagon, we need to divide the total sum of the angles by the number of angles.
A regular heptagon has 7 angles.
The sum of the interior angles of any polygon can be found using the formula: (n - 2) * 180 degrees, where n is the number of sides.
So, for a heptagon, the sum of the interior angles would be (7 - 2) * 180 degrees = 5 * 180 degrees = 900 degrees.
To find the size of each angle, we divide the total sum of the angles by the number of angles: 900 degrees / 7 angles = 128.57 degrees.
Rounded to the nearest degree, each angle of a regular heptagon is approximately 129 degrees.