## es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has how many

Question

es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has

how many sides?

30 degrees; 6 sides

45 degrees; 8 sides

45 degrees; 6 sides

60 degrees; 6 sides

60 degrees; 8 sides

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2021-11-22T04:01:48+00:00
2021-11-22T04:01:48+00:00 1 Answer
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## Answers ( )

The measure of each exterior angle is

60°and the polygon has6 sides⇒ 4th answerStep-by-step explanation:In a regular n-side polygon:

∵ 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 =

– Substitute the measure of the exterior angle by 60

∴

– By using cross multiplication

∴ 60 n = 360

– Divide both sides by 60

∴

n = 6∴ The polygon has 6 sides

The 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

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