Respuesta :

Answer:

The value of x is 75;

[tex]x=75[/tex]

Explanation:

From the diagram;

[tex](x+20)^0+(x+10)^0=180^0[/tex]

Reason; supplementary angles.

Solving the equation, we have;

[tex]\begin{gathered} x+x+20+10=180 \\ 2x+30=180 \\ 2x=180-30 \\ 2x=150 \\ x=\frac{150}{2} \\ x=75 \end{gathered}[/tex]

Therefore, the value of x is 75;

[tex]x=75[/tex]