Name________________________________________Period_______Date________________________ The Boss of All Regular Polygons _____________1.) What is the sum of exterior angles of a regular pentagon? _____________2.) What is the measure of an exterior angle of a regular hexagon? _____________3.) What is the measure of an interior angle of a 12-gon? _____________4.) What is the sum of the interior angles of a regular nonagon? _____________5.) How many diagonals does a regular 14-gon have? _____________6.) What is the measure of an interior angle of a regular polygon if the exterior angle is 40 o? _____________7.) How many sides does a regular polygon have if its exterior angle measures 20o? _____________8.) What is the sum of the interior angles of a regular polygon if the exterior angle is 72o? _____________9.) What is the sum of the exterior angles of a regular polygon if each exterior angle is 1 o? _____________10.) What is the sum of the interior angles of a regular polygon if each interior angle is 156o? _____________11.) How many sides does a regular polygon have if its interior angle measures 150 o? _____________12.) What is the measure of an exterior angle if its interior angle is 108o? _____________13.) How many diagonals does a regular polygon have if its exterior angle is 60o? _____________14.) How many diagonals does a regular polygon have if each interior angle is 60o? _____________15.) What is the sum of the exterior angles of a regular polygon if each interior angle is 90o? _____________16.) What is each interior angle of a regular polygon if the sum of the interior angles is 1080 o? _____________17.) How many sides does a regular polygon have if the sum of the interior angles is 1800 o? _____________18.) What is an exterior angle of a regular polygon if the sum of the interior angles is 900 o? _____________19.) What is the sum of the exterior angles of a regular polygon if the sum of the interior angles is 720o? _____________20.) How many sides are on a regular polygon with 5 diagonals? _____________21.) What is the measure of an interior angle of a regular polygon that has 35 diagonals? _____________22.) What is the sum of interior angles of a regular polygon that has 27 diagonals? _____________23.) What is the measure of an exterior angle of a regular polygon that has 14 diagonals? _____________24.) What is the sum of the exterior angles of a regular polygon that has 151,524 diagonals? _____________25.) What is the measure of an interior angle of a regular polygon if the exterior angle is 64o?
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