ANSWER
x = 41
EXPLANATION
The given angles are supplementary, so their measures add up to 180°,
[tex](2x+20)+(2x-4)=180[/tex]
Now we have an equation for x. First, add like terms,
[tex]\begin{gathered} (2x+2x)+(20-4)=180 \\ 4x+16=180 \end{gathered}[/tex]
Then subtract 16 from both sides of the equation,
[tex]\begin{gathered} 4x+16-16=180-16 \\ 4x=164 \end{gathered}[/tex]
And finally, divide both sides by 4,
[tex]\begin{gathered} \frac{4x}{4}=\frac{164}{4} \\ x=41 \end{gathered}[/tex]
Hence, x = 41.
