Unit 5 - Geometry - The Boss of All Regular Polygons Worksheet

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?