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
