es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon hashow many sides?30 degrees; 6 sides45 degrees; 8 sides45 degrees; 6 sides60 degrees; 6 sides60 degrees; 8 sidesSubmit

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answerStep-by-step explanation:In a regular n-side polygon:All sides are equal in lengthsAll angles are equal in measureThe measure of each interior angle = [tex]\frac{(n-2)*180}{n}[/tex]The measure of each exterior angle = [tex]\frac{360}{n}[/tex]The sum of interior angle and exterior angle at a vertex is 180°∵ The measure of an interior angle of a regular polygon is 120°∵ The sum of interior angle and exterior angle at a vertex = 180°∴ The measure of each exterior angle = 180 - 120∴ The measure of each exterior angle = 60°∵ The measure of each exterior angle = [tex]\frac{360}{n}[/tex]- Substitute the measure of the exterior angle by 60∴ [tex]60=\frac{360}{n}[/tex]- By using cross multiplication∴ 60 n = 360- Divide both sides by 60∴ n = 6∴ The polygon has 6 sidesThe measure of each exterior angle is 60° and the polygon has 6 sidesLearn more:You can learn more about polygons in brainly.com/question/6281564#LearnwithBrainly