gracebugj10 gracebugj10
  • 25-03-2022
  • Mathematics
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subtomex0
subtomex0 subtomex0
  • 25-03-2022

To find the sum of interior angles of this polygon you have to use the equation

S=180(n-2)

where n is the number of sides

S=180(6-2)

S=180(4)

S=720 degrees

The sum of all angles is 720 degrees

[tex]110 + x + 25 + x - 30 + x + x + 115 = 720[/tex]

[tex]4x = 720 - 110 - 25 - 115 + 30[/tex]

[tex]4x = 720 - 220[/tex]

[tex]4x = 500[/tex]

[tex]x = \frac{500}{4} = 125[/tex]

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