Sum of the measures of the interior angles of a heptagon

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∘.
  • #1
yormmanz
2
0
PLEASE HELP1.What is the sum of the measures of the interior angles of a heptagon?

A. 1260∘
B. 2520∘
C. 900∘
D. 1800∘

my answer is C

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

MY ANSWER ?

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

MY ANSWER ?
 
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  • #2
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 $360^\circ$
 
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FAQ: Sum of the measures of the interior angles of a heptagon

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.

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