Answer :

Notice that all the sides of the triangle have the same measure. Then, it is an equilateral triangle. On such a triangle, all the internal angles have a measure of 60°. Then:

[tex]4x+8=60[/tex]

Substract 8 from both sides:

[tex]\begin{gathered} 4x+8-8=60-8 \\ \Rightarrow4x=52 \end{gathered}[/tex]

Divide both sides by 4:

[tex]\begin{gathered} \Rightarrow\frac{4x}{4}=\frac{52}{4} \\ \Rightarrow x=13 \end{gathered}[/tex]

Therefore:

[tex]x=13[/tex]

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