![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The given regular polygon has 6 sides.
\Sum of the measures of exterior angles of a regular polygon is 360.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6fd3c129e68eef441f0155d336ca5fd4.png\")
(n is the measure of the exterior angle)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3bf533f71457b84df8a2eb8237c7cd9c.png\")
(Divide each side by 6)
The measure of each exterior angle of the polygon is 60.![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
Since each exterior angle and its corresponding interior angle form a linear pair,
\the measure of the interior angle is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1a04b7a9b27a951246a3348bc27517bc.png\")
.![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The measure of an exterior angle of the polygon is 60.
\The measure of an interior angle of the polygon is 120.