chancesaunders006 chancesaunders006
  • 23-10-2021
  • Mathematics
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The exterior angles of a pentagon are 115° , 2x° , 3x°, x° and x° . Calculate the value of x.

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JoshEast
JoshEast JoshEast
  • 23-10-2021

Answer:   x = 35

Step-by-step explanation:

Sum of the exterior angles of a pentagon = 360

              ⇒   115 + 2x + 3x + x + x = 360      

                                   [simplify the x terms and subtract 115 from both sides]

                                                  7x = 360 - 115   [divide both sides by 7]            

                                            x = 35

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