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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.

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Q: Why is 135degrees the measurement of an angle of an octagon?
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Related questions

What is the measurement of each interior angle in an octagon?

Providing that it is a regular octagon then each interior angle will measure 135 degrees


What is the enterior angle of octagon?

The interior angle measurement of an octogon is 1080 degrees. Each angle is 135 degrees.


What is the measurement of the angle in an octagon?

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What is the measurement of each exterior angle of an equiangular octagon?

360/8 = 45 degrees.


What regular polygon has an interior angle measurement of 135?

It is a regular 8 sided octagon


The sum of seven interior angle measurements in an octagon equal 835ΒΊ What is the angle measurement of the 8th angle?

It is: 1080 - 835 = 245 degrees


What is angle measures of an octagon?

I am going to assume that you mean a regular octagon. If you use the formula 180(n-2), where n=the number of sides, plug in 8 for an octagon and you get 1080 as the sum of the interior angles. Now divide this by 8 in order to get the measure of one of the interior angles, which turns out to be 135. Now, if you are looking for the exterior angle measurement, then simply subtract 135 from 180 to get 45. 45 is your exterior angle measurement, 135 is your interior angle measurement.


What polygon has an interior angle of 135degrees?

If interior angle is 135 then exterior is 45. Number of sides = 360/45 = 8


What are the measurements of each angle in a regular octagon?

If you cut a regular octagon into triangles, it would be 6 triangles. the measurement of all the angles in a triangle added up are 180 degress multiply 6x180=1080 the measurement of all the angles in a octagon added up are 1080 degress there are 8 angles in a octagon. divide 1080 by 8=135 135 degress in each angle in a regular octagon


What is the total angle measurement for an octagon?

Each angle is 45 degrees - eight 45 degree angles equals 360 degrees.


What degrees is a octagon?

Each interior angle of an octagon has an angle of 135 degrees.


Does an octagon or hexagon have a larger interior angle?

which to has a larger interior angle, octagon or hexagon?