(8-2)*180 = 1080 degrees
It is an octagon each of whose sides is 5 cm long and each of whose interior angles measures 135 degrees.
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
If the 15-gon is a regular polygon, then: Sum of the interior angles = 180°(n - 2) = 180°(15 - 2) = 2,340° Each interior angle = 2340° ÷15 = 156°
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
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
ANY n-sided polygon has interior angles that sum to 180(n - 2) degrees. For an octagon this is 180 x 6 ie 1080 degrees (so the individual interior angles of a regular octagon are 135 degrees).
(8-2)*180 = 1080 degrees
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.
It is an octagon each of whose sides is 5 cm long and each of whose interior angles measures 135 degrees.
There's a really handy little formula. The total number of degrees in a polygon (the sum of the interior angles) is equal to (2n-4) right angles or (2n-4)x90 degrees. So for an octagon, the sum of the interior angles is 2x8-4 right angles = 16-4 right angles = 12 right angles or 12x90 degrees = 1080 degrees. To find one angle, divide this by 8 and you get 135 degrees.
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The answer depends on whether or not the octagon is regular and also on what information about its side lengths, angles, etc you have.
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.
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.
The sum of the interior angles of an n-gon is (n-2)*180 degrees - whether or not it is regular. If it is non regular you cannot find the individual angles without a lot more information.
The sum of the interior angles add up to 3240 degrees.
The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.