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Name:___________________________ Date:_____________ Class Period:____ GPS Geometry Finding Angle Measures in Polygons Notes There are ________ formulas that you have to know for finding _______________ measures in polygons. How do you find the sum of the interior angles of a polygon? Formula:__________________________ Examples: Find the sum of each polygon 1. 15 – gon 2. Dodecagon 3. How do you find the number of sides (n), if you are given the sum? Formula:_________________________ Examples: The sum of the angles of a polygon is given, find the number of sides. 1. 900o 2. 2520o 3. 8640o How do you find one interior angle of a regular polygon? Formula:____________________________ Examples: Given the number of sides, find the measure of one interior angle. 1. Heptagon 2. 45 – gon 3. Name:___________________________ Date:_____________ Class Period:____ How do you find the number of sides if you are given the measure of one interior angle? Formula:____________________________ Examples: Given the measure of one interior angle, find the number of sides. 1. 140o 2. 156o 3. 175.2o How do you find the sum of the exterior angles of any polygon? Formula:____________________________ Examples: Given the number of sides, find the measure of the exterior angles. 1. 18-gon 2. One-Million-gon 3. 90-gon How do you find one exterior angle of a regular polygon? Formula:____________________________ Examples: Given the number of sides, find the measure of one exterior angle. 1. Heptagon 2. 45 – gon 3.