# What is the sum of the interior angles of a regular heptagon?

(7-2)*180 = 900 degrees

### What is the measure of each individual angle in a heptagon?

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.

### Ask us of the following best describes a regular polygon when the sum of its interior angles is 900?

### How do angles of heptagon add up too 900?

If you select one vertex of a heptagon and draw diagonals to all other vertices, you will divide the heptagon into 5 triangles such that the interior angles of the heptagon add up to the same sum as the interior angles of the five triangles. Now the sum of the interior angles of one triangle is 180 degrees. So for 5 triangles you get 5*180 = 900 degrees. In general, the interior angles of a…

### Approximately how many degrees are in the measure of an interior angle of a regular heptagon?

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…

### Why cant a regular heptagon be used to create a regular tessellation?

Each interior angle of a regular heptagon measures 900/7 degrees. The interior angles of all polygons meeting at a point must sum to 360 degrees. But that would require 360 / (900/7) = 2.8 - that is you would require 2.8 regular heptagons to meet at each vertex. Since it is not possible to have a fraction of a heptagon. the tessellation required by the question is impossible.

### What is the sum of the interior angles of a polygon is 900 What type of polygon is it?

For any regular polygon with number of sides n, the sum of the internal angles is equal to (n - 2) x 180. Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7. The number of sides the shape will have is 7, making it a heptagon…