Fist, determine the number of sides. Count the number of sides of the polygon being analyzed. For this example we will look at a hexagon that has six sides. Next, calculate the exterior angle. Using the formula, we find the exterior angle to be 360/6 = 60 degrees. A hexagon is a shape with six sides. Using the correct equation, you can find the degree of each of the interior angles, or the angles inside the hexagon at the corners. Using a different formula, you can find the exterior angles of the hexagon. This process, however, only works for regular hexagons, or those in which all sides are equal. Number of sides in hexagon = 6Sum of the interior angles of a polygon =(n−2)πn(I nterior Angle)= (n−2)π⇒ Interior Angle = 64 πInterior Angle = 120∘Exterior Angle = 180− Interior Angle⇒ Exterior angle = 60∘Sum of Exterior angle = 6× Exterior Angle = 360∘. Answer verified by Toppr. 3669 Views. Exterior Angles of Polygons: A Quick (Dynamic and Modifiable) Investigation and Discovery. The exterior angles of a triangle, quadrilateral, and pentagon are shown, respectively, in the applets below. Control the size of a colored exterior angle by using the slider with matching color. Move the vertices of these polygons anywhere you'd like. For the quadrilateral & pentagon, the last two applets work best if these polygons are kept ... Several videos ago I had a figure that looked something like this, I believe it was a pentagon or a hexagon. and what we had to do is figure out the sum of the in particular exterior angles of the hexagon so that this angle equaled A, this angle B, C, D and E. Because the sum of the angles of each triangle is 180 degrees... We get. So, the sum of the interior angles of a hexagon is 720 degrees. Regular Hexagons: The properties of regular hexagons: All sides are the same length (congruent) and all interior angles are the same size (congruent). Since its an exterior angle, and its a regular hexagon, the sum of all exterior angles on any regular polygon is 360 degrees. Take 360 divided by 6 (For 6 sides of a hexagon) and you've got 60 degrees! The sum of exterior angles is 360° The exterior angle is 360 ÷ 5 = 72° The interior and exterior angles add up to 180° The interior angle is 180 - 72 = 108° Method two Open Digital Education.Data for CBSE, GCSE, ICSE and Indian state boards. A repository of tutorials and visualizations to help students learn Computer Science, Mathematics, Physics and Electrical Engineering basics. Visualizations are in the form of Java applets and HTML5 visuals. Graphical Educational content for Mathematics, Science, Computer Science.
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Quick run through of interior and exterior angles of polygons. Including a proof of the exterior angle of a triangle rule. Geoemetry lesson using the polygon angle sum theorems for both polygons and regular polygons. Exterior angles are also discussed. The exterior angles of a polygon are angles drawn from an adjacent side. The exterior angles also add up to 360 degrees.The interior and exterior angles add ... About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ... CHECK OUT ALL MY MATH VIDEOS AT driveyourselfmath.com In this video I will take you through everything you need to know in order to answer basic questions about the angles of polygons. I will be focusing on con...
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