The size of each angle in a polygon is not equal, so we can determine its size by adding together the known interior angles and solving the equation. The interior angles of a triangle add up to 180°, while the interior angles of any polygon always add up to a constant value, depending only on the number of sides. Concave polygons are simple polygons with at least one interior angle greater than 180^circ 180∘.
The interior angle-sum formula for an irregular polygon is the same as the sum of interior angle in a regular polygon. In a n-sided polygon, the sum of interior angles is (n – 2) 180 ∘, where n is the number of sides. To find the size of an interior angle in an irregular polygon, subtract the sum of the given angles from the sum of the interior angles, sign them with a third z-coordinate of 0, and compute the cross product (P2−P1)×(P3−P2).
In this lesson, we will discuss how to find the measures of the interior angles of polygons, name polygons based on the number of sides, and discuss the number of triangles that make up the polygon. The size of an irregular polygon is determined by subtracting the sum of the given angles from the sum of the interior angles, signing them with a third z-coordinate of 0, and computing the cross product (P2−P1)×(P3−P2).
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