Two an essential ingredients are connected in this type of problem: #1 interior and also exterior angles of any type of regular polygon room calculated differently - #2 over there is a details rule/formula easily accessible for each.

You are watching: What is the sum of the measures of the interior angles of a 12-gon?

When calculating the

*angle measurements of*

**exterior****REGULAR**polygons: including ALL the exterior angles included together will yield 360º. So even if it is you have actually 3 political parties of 333 political parties (or vertices), they will all amount to equal 360º. If you desire to calculate the angular measure up of one single exterior angle, simply divide 360º by the variety of sides (or vertices).

To calculation the steps of the

*angle of*

**interior****REGULAR**polygons, monitor this specific formula. (n - 2) • 180 where n = the variety of sides (or vertices) the the particular regular polygon. In this case, n = 12, for this reason (12 - 2) • 180º = 1800º.

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