Question

Show work for all problems!

Answer 1

Answer:

Step-by-step explanation:

Answer:

See below

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.

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Two

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

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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