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2 methods:
a: Interior angle = 180 - Exterior angle. The exterior angles of a regular n-sided polygon are equal to 360/n degrees. In this case n = 8 so Exterior angles are 45 degrees, making the interior angles 145 degrees;
b: Total of interior angles of n-sided polygon is (2n -4) right angles, or 180n - 360 degrees. When n = 8, total of angles is 180 x 8 - 360 or 1080 degrees and each angle is 1080/8 or 145 degrees.
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If a regular polygon has 8 sides find the size of each interior angle?
Each interior angle of the regular 8 sided octagon measures 135 degrees
What is the interior and exterior angle of a regular octagon?
To work this out, all the external angles of any shape add up to 360°, so all we need to do to work the external angle out is divide 360° by the number of sides giving us a sum of 360 divided by 8 sides = 45°; so now we have the exterior angle we can easily find the internal angle, we do this by subtracting the external angle which in the case of an octagon is 45° from 180° thus giving us 135°, of course this is only going to work on a regular shape with equal sides as an irregular shape is going to have different angles but will still total 360°.The interior angle of a regular octagon is 135° and the external 45°.By tash2010
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
Find the measures of an interior angle and an exterior angle of a regular polygon with 9 sides?
Each interior angle: 140 degrees Each exterior angle: 40 degrees
Find the measure of each interior angle of a regular heptagon?
128.571428 repeating
If a regular polygon has 8 sides find the size of each interior angle?
Each interior angle of the regular 8 sided octagon measures 135 degrees
Find the number of sides of a polygon if each interior angle is 180?
A polygon with each interior angle measuring 180 degrees is a regular octagon. In a regular octagon, all the sides are the same length and all the interior angles are the same. Therefore, since each interior angle is 180 degrees, the number of sides is 8. You can use the formula n - 2, where n is the number of sides, to find the number of sides for any regular polygon. In this case, n - 2 = 8 - 2 = 6. Since 6 is the number of sides, the polygon is an octagon.
How do you find the measure of each interior angle of a regular octagon?
Use the equation 180(n-2)/n, where n is the number of sides in the figure.
Find the measure of each exterior angle of a regular ctagon?
Each exterior angle of a regular octagon measures 45 degrees
How do you find the interior angle of a regular poloygon?
360 /each exterior angle
What are angles in a octagon?
To find the interior angle of a regular n sided shape you use the following formula: (n-2)180/n To calculate the angle size for an octagon, which has 8 sides, you simply plug n=8 into this equation. That gives (8-2)180/8 =6x180/8 =135 Thus the angles in a regular octagon are all 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 ÷ 8 = 45° To get the interior angle, you subtract that from 180 and you get 135° 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°, the interior angle of an octagon
Find the sum of the interior angles of a regular octagon?
(8-2)*180 = 1080 degrees
How big is each angle in a regular octagon?
180(n-2) = the measure of any interior angle of a shape."n" represents the number of sidesTherefore, 180(8-2=10801080 is the total of all the interior angles together, so divide it by 8 to find the measure of a single angle, which would be 135
How do you find the interior angles of a octagon?
if you are talking about a regular octagon. or any polygon, Take the number of sides ( 8 for an Octagon) minus 2 and multiply by 180 for the total of all interior angles. (8-2)180 = 1080 divide this by the 8 angles for the measure of each individual angle. 1080/8 = 135 By the way a "regular" polygon is one where all the sides and angles are the same. Good luck.
What is the interior and exterior angle of a regular octagon?
To work this out, all the external angles of any shape add up to 360°, so all we need to do to work the external angle out is divide 360° by the number of sides giving us a sum of 360 divided by 8 sides = 45°; so now we have the exterior angle we can easily find the internal angle, we do this by subtracting the external angle which in the case of an octagon is 45° from 180° thus giving us 135°, of course this is only going to work on a regular shape with equal sides as an irregular shape is going to have different angles but will still total 360°.The interior angle of a regular octagon is 135° and the external 45°.By tash2010
B Find the measure of each interior angle of a regular 20-gon?
Each interior angle measures 162 degrees.
