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Sum of exterior angles: 360 degrees

Sum of interior angles: 1080 degrees

Each exterior angle: 360/8 = 45 degrees

Each interior angle: 1080/8 = 135 degrees

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Q: What is the sum of a regular polygon of eight sides . what is the measure of one angle?
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Related questions

How many degrees are in the measure of an interior angle of a regular eight sided polygon?

135


How do you find the exterior angle in a regular polygon with eight sides?

It is: 360/8 = 45 degrees


How many sides does a 135-degree polygon have?

If the 135-degree polygon is a regular polygon and each interior angle measures 135 degrees then the polygon is an eight-sided octagon


Why is 135degrees the measurement of an angle of an octagon?

The external angle of a polygon is equal to 360/n, n representing the number of sides in the polygon. Since an octagon has eight sides, the external angle of a regular octagon is 360/8 = 45 degrees. Since a straight angle in a polygon would be equal to 180 degrees, you subtract the measure of the external angle from this, to make an internal angle of 180 - 45 = 135 degrees.


About Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?

For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 degrees.


How many sides does a polygon have if the measure of each exterior angle of a regular polygon is 45 degrees?

8 Since the sum of the exterior angles of any polygon is always 360, you can divide 360 by 45 to find the number of exterior angles, which is 8. That means 8 interior angles and eight sides as well.


An octagon is a 2d sided polygon?

An octagon is a two-dimensional polygon with eight sides which can be regular or irregular


What do the mathematics call a regular polygon with eight sides?

A polygon with eight sides, regular or not, is an octagon. There isn't a special name for a regular octagon (other than "regular octagon").


What regular polygon has eight sides and eight angles?

octogon


What is one angle worth in an octagon?

On a regular polygon (the octagon that was represented to you in grade 2), its usually 45 degrees. Although, an octagon is any polygon with eight sides so it doesn't have to be regular, it can be any shape with sides. So it may be different for your octagon.


What do mathematicians call a regular polygon with eight sides?

Octagonoctagon


What is a eight sided polygon with all sides congruent?

It is a regular octagon.