Answer:
The value of x is;
[tex]x=28[/tex]
Explanation:
Given the triangle in the attached image.
Recall that the sum of angles in a triangle is equal to 180 degree.
Adding up all the angles in the given triangle;
[tex]50^{\circ}+(2x)^{\circ}+(3x-10)^{\circ}=180^{\circ}[/tex]
let's now solve for x;
[tex]\begin{gathered} 50+2x+3x-10=180 \\ 5x+40=180 \\ 5x=180-40 \\ 5x=140 \\ x=\frac{140}{5} \\ x=28 \end{gathered}[/tex]
Therefore, the value of x is;
[tex]x=28[/tex]
