A hexagon and pentagon share the property that the side lengths of each are consecutive integers, and the perimeter of each is 45. What is the difference in length between the short side of the pentagon and the short side of the hexagon?
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Answer:
Hi!
Step-by-step explanation:
the angle x is the sum of the exterior angle of the hexagon and the exterior angle of the octagon.
The exterior angles of any regular polygon add up to 360 o
The exterior angle of the octagon is 360 8 = 45 o
The exterior angle of the hexagon is 360 6 = 60 o
Therefore x = 45 + 60 = 105 o
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