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Step-by-step explanation:

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Step-by-step explanation:

One

The measure of all the exterior angles of a convex n-gon always add up to 360 degrees.

So the exterior angles of a triangle = 360 degrees

The exterior angles of a 4 sided figure = 360 degrees

The exterior angles of a 12 sided figure = 360 degrees.

Two

Same answer as One. All polygons have this property as long as they are convex.

Three

The relationship between the number of sides and the actual size of the exterior angle is

Sides = 360/angle size

angle size = 24

Sides = 360 / 24

Sides = 15 sides

Four

Be careful. This is an interior angle question

Given: sum of interior angles = 7380

Formula: Total of interior angles  = (n - 2)*180

Solution

(n - 2) * 180 = 7380                Divide both sides by 180

(n - 2) * 180/180 = 7380/180  Do the division

n - 2 = 41                                 Add 2 to both sides

n - 2 + 2 = 41 + 2                     Collect like terms

n= 43

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step-by-step explanation: