ANSWER
x = 41
Step-by-step explanation
The given angles are supplementary, so their measures add up to 180°,
![(2x+20)+(2x-4)=180](https://img.qammunity.org/2023/formulas/mathematics/high-school/x62lkkdy5l0x3k5luw421kcidudwly9vw0.png)
Now we have an equation for x. First, add like terms,
![\begin{gathered} (2x+2x)+(20-4)=180 \\ 4x+16=180 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9l7ks26es6y2ddp7ujbbdzozx5kqo98l57.png)
Then subtract 16 from both sides of the equation,
![\begin{gathered} 4x+16-16=180-16 \\ 4x=164 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/dtn20s72o0l49odbbcxttxukwbtytwn7oq.png)
And finally, divide both sides by 4,
![\begin{gathered} (4x)/(4)=(164)/(4) \\ x=41 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9g8d3ki97mtcuvvkchqcony5pm5uk9qdhb.png)
Hence, x = 41.