impeppapiglol82
impeppapiglol82 impeppapiglol82
  • 10-10-2021
  • Mathematics
contestada

Please refer to the following attachment and find the value of x.

Please refer to the following attachment and find the value of x class=

Respuesta :

Аноним Аноним
  • 10-10-2021

Answer:

5

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

110 + 70 + 14x + 23x - 5 = 360

180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

x = 185 / 37

x = 5

Answer Link
ItzBrainly
ItzBrainly ItzBrainly
  • 10-10-2021

  • ✦[tex]\bf{x=5°}[/tex]✦

Step-by-step explanation:

We know that,

For a tetragon the sum of all 4 angle is 360°

According to the question,

  • 70+110+(23x-5)+14x=360

  • 180+23x-5+14x=360

  • 37x-5=360-180

  • 37x=180+5

  • 37x=185

  • x=[tex]\sf{\dfrac{185}{37} }[/tex]

  • x=5
Answer Link

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