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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 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.
What would the name for a polygon that measures 1080 degrees?
An octagon has interior angles of 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.
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.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
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
