brayanportillo158
brayanportillo158 brayanportillo158
  • 17-07-2019
  • Mathematics
contestada

Determine the value of x in this polygon.

Determine the value of x in this polygon class=

Respuesta :

gmany
gmany gmany
  • 24-07-2019

Answer:

x = 23.5

Step-by-step explanation:

It's the trapezoid.

We know: the sum of the angle measures at one leg of a trapezoid is 180°.

Therefore we have the equation:

[tex](x+12.5)+(6x+3)=180[/tex]    combine like terms

[tex](x+6x)+(12.5+3)=180[/tex]

[tex]7x+15.5=180[/tex]         subtract 15.5 from both sides

[tex]7x=164.5[/tex]   divide both sides by 7

[tex]x=23.5[/tex]

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