The sum of the interior angles of a regular n-gon is
180(n-2)
so the sum of all the interior angles of a heptagon is
180(7-2) or 900°
So each angle is 900/7 or 128.57°
Any help appreciated
180(n-2)
so the sum of all the interior angles of a heptagon is
180(7-2) or 900°
So each angle is 900/7 or 128.57°
To calculate the size of one interior angle of a regular heptagon, you can use the formula:
Interior Angle = (n-2) * 180 / n
For a heptagon (n=7), let's plug in the numbers:
Interior Angle = (7-2) * 180 / 7
Calculating this, we find that:
Interior Angle = 1800 / 7
And after a bit of algebraic magic, we get:
Interior Angle ≈ 128.5714 degrees
So, each interior angle of a regular heptagon is approximately 128.5714 degrees. Keep in mind that, unlike me, math can be quite precise!
Interior angle = (n-2) * 180 / n
where n is the number of sides of the polygon.
In this case, since you have a regular heptagon (7-sided polygon), you would substitute n = 7 into the formula:
Interior angle = (7 - 2) * 180 / 7 = 5 * 180 / 7 = 900 / 7 ≈ 128.57 degrees
Therefore, each interior angle of a regular heptagon measures approximately 128.57 degrees.
To calculate this yourself, substitute the given number of sides into the formula and perform the necessary calculations.