guestmaria20 guestmaria20
  • 22-01-2018
  • Mathematics
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if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it?

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Yna9141
Yna9141 Yna9141
  • 31-01-2018
The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

     180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

Answer: OCTAGON
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