In Topic 8.1 - Finding Angle Measures in Polygons
You will learn how to find the interior angle sum of any type of polygon. You already know that the interior angle sum of all triangles is 180 degrees and 360 degrees for quadrilaterals, but what about a hexagon? an octagon? or a polygon with 20 sides? How would you find the interior angle sum? The general rule is you add 180 degrees for every extra side. For example a triangle has 3 sides and adds up to 180, a quadrilateral has 4 sides and adds up to 360, a pentagon has 5 sides so you would add 180 to 360 for an interior angle sum measure of 540 degrees. But there's an easier way, this is math, so of course we have a formula for that!
You will learn how to find the interior angle sum of any type of polygon. You already know that the interior angle sum of all triangles is 180 degrees and 360 degrees for quadrilaterals, but what about a hexagon? an octagon? or a polygon with 20 sides? How would you find the interior angle sum? The general rule is you add 180 degrees for every extra side. For example a triangle has 3 sides and adds up to 180, a quadrilateral has 4 sides and adds up to 360, a pentagon has 5 sides so you would add 180 to 360 for an interior angle sum measure of 540 degrees. But there's an easier way, this is math, so of course we have a formula for that!
The Formula is: Interior Angle Measure = 180(n - 2)
Where n represents the number of sides of the polygon
Where n represents the number of sides of the polygon
The Sum of the Exterior Angles in ANY Polygon will ALWAYS add up to 360 degrees.