Question

Find the size of each interior angle of a regular heptagon

Answer 1

Respuesta:

Regular Heptagons:

The properties of regular heptagons:

heptagons

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the interior angles, we know that the sum of all the angles is 900 degrees (from above)...  And there are seven angles...

heptagons

So, the measure of the interior angle of a regular heptagon is about 128.57 degrees.

Explicación paso a paso:

Answer 2

Respuesta:

128,5714° = 5π/7 radians

Explicación paso a paso:

Formula of the internal angle of a regular polygon: 180(n-2)/n

Where n is the number of sides.

So, the regular heptágono has 7 sides.

180(7 - 2)/7 = 180*5/7 =  128,5714° = 5π/7 radians