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# Does an octagon equal 180 for each angle?

Updated: 12/18/2022

Wiki User

10y ago

No because each interior angle of a regular octagon measures 135 degrees

But each interior and exterior angles add up to 180 degrees

Wiki User

10y ago

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Q: Does an octagon equal 180 for each angle?
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### What is the exterior angle of an octagon?

The exterior angle of a general octagon is any angle less than 180 degrees. The sum of the exterior angles of a polygon is 360 degrees. If the octagon is regular, then each of its 8 exterior angles is equal to 360/8 = 45 degrees.

### What is the degree angle of each side of a octagon?

In total the interior angles add to (8-2)*180 = 6*180 = 1080 degrees. IF the octagon is regular, so that all of its angles are equal, then each one is 1080/8 = 135 degrees.

### 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.

### What is the exterior angle for a octagon?

180 minus interior angle = exterior angle

### How do you get the angle measurement of a octagon?

The sum of the internal angles of a n-gon are (n-2)*180 degrees. For an octagon, n = 8 so the sum of the internal angles is (8-2)*180 = 6*180 = 1080 degrees. If the octagon is regular, all eight of its internal angles are equal. So each of them equals 1080/8 = 135 degrees.

### What is the measure of each interior angle of an octagon?

The exterior angle of any polygon can be formed by extending any side. To calculate the exterior angle, you divide 360 by the number of sides. So for an octagon, the exterior angle is 360 &divide; 8 = 45&deg; To get the interior angle, you subtract that from 180 and you get 135&deg; Alternatively, use this formula to find the sum of the n interior angles. S = ( n - 2) x 180 For an octagon, this become ( 8 - 2 ) x 180 = 6 x 180 = 1080 Divide this by 8 and you get 135&deg;, the interior angle of an octagon

### How many degrees are in each interior angle of a regular octagon?

Each exterior angle is 360/8 = 45 degrees. So each interior angle is 180 - 45 = 135 degrees.

### What is the messure of each interior angle of a regular octagon?

(180 x 8 - 360)/8 ie 135o

(8-2)*180=1080

### What is the sum of the interior angles of an octagon?

sum interior angles = (number of sides - 2) &times; 180&deg;= (8 - 2) &times; 180&deg;= 1080&deg;The sum of the interior angles of an octagon is 1080&deg;In a regular octagon, divide by 8 for each angle = 135&deg;.

### What is the measure of each interior angle of a octagon?

use formula [180(#of sides-2)]/#of sides so the answer would be 135

### How do you find the measure of degrees of a octagon?

Octagon = 8 sides, 8 angles. If it is a regular octagon, then use the sum of angles formula, (n - 2)180&deg;, where n is the number of sides. (n - 2)180&deg; = (8 -2)180&deg; = 6 x 180&deg; = 1,080&deg; Thus each angle is 135&deg; (1,080/8).