Respuesta :

SageRage

Answer:

x=11

Step-by-step explanation:

  • The angles directly opposite 80 and 60 are also 80 and 60 respectively, because they are vertical angles
  • Now the triangle we see there, on the bottom left corner the angle is 80 degrees and the bottom right the angle is 60 degrees
  • Theorem states that the sum of angles in a triangle is 180 degrees
  • So 80 degrees plus 60 degrees plus the angle (x+51) is equal to 180
  • [tex]80+60+(x+51)=180\\x+80+60+51=180\\x+191=180\\x+191-(191)=180-(191)\\x=11[/tex]

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