kiraa5051 kiraa5051
  • 02-06-2020
  • Mathematics
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the measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

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devishri1977
devishri1977 devishri1977
  • 02-06-2020

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon =  (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61  = 18.44

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