The measure of the interior angles of a regular heptagon is approximately 128.6 degrees.
There are 2 ways to work this out:
Find the total of all the angles and divide by 7:
In an n-sided figure the interior angles sum to (n-2) x 180 degrees.
For a heptagon, n=7, so total angles = (7-2) x 180 = 5 x 180 = 900 degrees
So each angle = 900 / 7 ~= 128.6 degrees.
Calculate the exterior angle and then subtract from 180 degrees to get the interior angle:
The sum of the exterior angles of a polygon is 360 degrees;
Divide 360 degrees by the number of angles (= number of sides)
Exterior angle of heptagon is 360 / 7 ~= 51.4 degrees;
Interior angle ~= 180 - 51.4 = 128.6 degrees
900 degrees
An interior angle of a heptagon can have any value in the range (0, 360) degrees - other than 180 degrees.
A heptagon has 7 sides and 7 angles. The sum of the interior angles is 900°. If the heptagon is a regular heptagon, meaning all sides and angles are congruent, then the formula (180(n-2))/ n gives the individual interior angle measure. "n" is the number of sides in this case. In a regular heptagon, the interior angle measures 128 4/7 degrees.
900/7 = 128.6 degrees rounded to the nearest tenth
Each of the 4 interior angles measure 90 degrees
The 7 interior angles of a heptagon add up to 900 degrees
900 degrees
it's a heptagon
An interior angle of a convex heptagon can have any value in the range (0, 180) degrees.
An interior angle of a heptagon can have any value in the range (0, 360) degrees - other than 180 degrees.
900 degrees
The 7 exterior angles of an heptagon add up to 360 degrees The 7 interior angles of an heptagon add up to 900 degrees
It is (7-2)*180 degrees = 900 degrees.
It is 128.57 degrees (approx). 900/7 degrees, exactly.
To find the measure of the interior angles in a heptagon (a seven-sided polygon), you can use the formula for the sum of interior angles, which is ((n - 2) \times 180) degrees, where (n) is the number of sides. For a heptagon, (n = 7), so the sum of the interior angles is ((7 - 2) \times 180 = 5 \times 180 = 900) degrees. To find the measure of each interior angle in a regular heptagon, divide the total sum by the number of angles: (900 \div 7 \approx 128.57) degrees.
Each interior angle is approximately 128.57 * * * * * That is only true of a REGULAR heptagon. The question does not state that it is regular.
A heptagon has 7 sides and 7 angles. The sum of the interior angles is 900°. If the heptagon is a regular heptagon, meaning all sides and angles are congruent, then the formula (180(n-2))/ n gives the individual interior angle measure. "n" is the number of sides in this case. In a regular heptagon, the interior angle measures 128 4/7 degrees.