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If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
What polygon has interior angles that measure 1080 degrees?
The interior angles of an octagon add up to 1080 degrees
How many degrees does a 8 sided shape have?
if it is a polygon then the total interior angles will equal 1080. so ear angle will be 135 degrees.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
How do you find the interior angle of a regular octagon?
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.
What polygon has the measure of 1080 degrees?
A polygon with a total interior angle measure of 1080 degrees is a decagon, which has 10 sides. The formula for calculating the sum of the interior angles of a polygon is ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. For a decagon, ( (10 - 2) \times 180 = 8 \times 180 = 1440 ) degrees, which is incorrect for 1080 degrees. Therefore, a polygon with an interior angle sum of 1080 degrees would actually have 8 sides, making it an octagon, as ( (8 - 2) \times 180 = 1080 ) degrees.
What is the sum of a regular polygon of eight sides . what is the measure of one angle?
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
How do you find the measure of each angle of a regular polygon with 8 sides?
Total angles: (8-2)*180 = 1080 degrees Each interior angle: 1080/8 = 135 degrees
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
What polygon has interior angles that measure 1080 degrees?
The interior angles of an octagon add up to 1080 degrees
What would the name for a polygon that measures 1080 degrees?
An octagon has interior angles of 1080 degrees.
What polygon adds up to 1080?
A polygon that has an interior angle sum of 1080 degrees is a decagon, which has 10 sides. The formula for the sum of the interior angles of a polygon is ( (n - 2) \times 180 ), where ( n ) is the number of sides. For a decagon, substituting ( n = 10 ) gives ( (10 - 2) \times 180 = 8 \times 180 = 1440 ) degrees, so it seems there was an error in the question. However, a polygon with an interior angle sum of 1080 degrees actually has 8 sides, making it an octagon.
How many degrees does a 8 sided shape have?
if it is a polygon then the total interior angles will equal 1080. so ear angle will be 135 degrees.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
What is the measure of each interior angle in an triangle?
using the equation (A-2)180 Where A is the number of angles in a polygon with equivalent angles. (8-2)180 (6)180 1080 degrees total. 1080 / 8 = 135 degrees per angle. 1080 is the total degrees of all interior angles. 8 is the number of angles.
How many degrees of one angle in a polygon with 1080 degrees?
135 degrees
What is the angle sum of a 8 sided polygon?
1080 degrees
