cpace256
cpace256 cpace256
  • 23-10-2018
  • Mathematics
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What is the value of x? Enter your answer in the box.

What is the value of x Enter your answer in the box class=

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gmany
gmany gmany
  • 26-10-2018

This is an equilateral triangle. Measures of angles are equal to 60°. Therefore we have equations

[tex]8y+12=60[/tex] and [tex]7x+4=60[/tex]

[tex]8y+12=60\qquad|-12\\\\8y=48\qquad|:8\\\\\boxed{y=6}\\\\7x+4=69\qquad|-4\\\\7x=56\qquad|:7\\\\\boxed{x=8}[/tex]

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