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Interior and Exterior angles (regular polygons)
31/03/2023
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POLYGONS interior angles) Regular polygons Regular means that all the angles and sides are the same 180 Triangle 900 Answer = 162 360 Square 3960/180 = 22 22 +2 1260 Answer 24 Heptagon Examples Questions: a) Find the sum of interior angles of a polygon with 7 sides (7-2) x 180 5 x 180 Octagon c) The sum of the interior angles of a polygon is 3960. How many sides does the polygon have? 540 Pentagon Answer=900 b) A regular polygon has 20 sides. Find the size of each interior angle. (20-2) x 180 18 x 180 = 3240 3240/20 1080 Nonagon 720 Hexagon 1440 Decagon Formular to find the interior angles for regular polygons is: (n-2) x 180 6 number of sides POLYGONS (exterior angles) Formular for exterior angles is: 180-interior angles (The sum of exterior angles is 360) 72 108 72 108 108 72 540 1108 72 108 72
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