# Sum of the measures of the interior angles of a heptagon

• MHB
• yormmanz
In summary, the sum of the measures of the interior angles of a heptagon is 900∘. If the sum of the interior angle measures of a polygon is 3600∘, the polygon has 20 sides. The angle measure of each exterior angle of a regular octagon is 45∘.
yormmanz

A. 1260∘
B. 2520∘
C. 900∘
D. 1800∘

5.If the sum of the interior angle measures of a polygon is 3600∘, how many sides does the polygon have?
A. 22 sides
B. 20 sides
C. 18 sides
D. 10 sides

3.What is the angle measure of each exterior angle of a regular octagon?
A. 45∘
B. 135∘
C. 360∘
D. 1080∘

couple of pieces of information to assist you ...

the sum of the interior angles of a convex n-gon is $(n-2)180^\circ$

the sum of the exterior angles of a convex n-gon is $360^\circ$

Last edited by a moderator:

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

The sum of the measures of the interior angles of a heptagon is 900 degrees.

## How do you find the sum of the measures of the interior angles of a heptagon?

To find the sum of the measures of the interior angles of a heptagon, you can use the formula (n-2)180, where n is the number of sides of the polygon. In this case, n=7, so the formula becomes (7-2)180 = 900 degrees.

## Can the sum of the measures of the interior angles of a heptagon be negative?

No, the sum of the measures of the interior angles of a heptagon cannot be negative. Interior angles are always positive, and the sum of angles in any polygon must be a positive number.

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

In a regular heptagon, each interior angle measures 128.57 degrees. This can be found by dividing the sum of the angles (900 degrees) by the number of angles (7).

## How is the sum of the measures of the interior angles of a heptagon related to the number of sides?

The sum of the measures of the interior angles of any polygon is directly related to the number of sides. The more sides a polygon has, the larger the sum of its interior angles will be. This can be seen in the formula (n-2)180, where n is the number of sides.

• General Math
Replies
5
Views
963
• General Math
Replies
2
Views
967
• General Math
Replies
1
Views
1K
• Precalculus Mathematics Homework Help
Replies
3
Views
1K
• General Math
Replies
1
Views
3K
• General Math
Replies
1
Views
2K
• Precalculus Mathematics Homework Help
Replies
3
Views
1K
• General Math
Replies
39
Views
21K
• Introductory Physics Homework Help
Replies
15
Views
294
• General Math
Replies
1
Views
2K