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An irregular seven pointed star is a shape with seven points and seven sides, but the angles between each side are not all equal.
The sum of angles in any polygon, including an irregular seven pointed star, is always equal to 180(n-2) degrees, where n is the number of sides. Therefore, the sum of angles in an irregular seven pointed star is 180(7-2) = 900 degrees.
To prove the sum of angles in an irregular seven pointed star, we can use the interior angle sum theorem, which states that the sum of the interior angles in any polygon is equal to 180(n-2) degrees. We can also use the fact that the sum of exterior angles in any polygon is always 360 degrees.
No, the sum of angles in an irregular seven pointed star will always be 900 degrees. This is because the sum of angles in any polygon is based on the number of sides, and an irregular seven pointed star will always have seven sides, resulting in a sum of 900 degrees.
Knowing the sum of angles in an irregular seven pointed star can be useful for various applications in geometry, such as calculating missing angles or determining the congruency of shapes. It can also help in solving more complex problems involving polygons and their properties.
