Respuesta :

Answer:

x = 28º

Step-by-step explanation:

hope this helps :)

Ver imagen waffle13

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Here's the solution ~

Let's use Angle sum property of a triangle :

[tex]\qquad \sf  \dashrightarrow \: 5x - 60\degree + 2x + 40\degree + 3x - 80 \degree= 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x + 2x + 3x - 60\degree + 40\degree - 80\degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x - 100\degree = 180\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 180\degree + 100\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 280\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 280\degree \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 28\degree[/tex]

The value of x is 28°