Answer:
x = 22
Explanation:
(2x -26) and (7x+8) are adjacent interior angles. It means that the sum of them is equal to 180°. So, we can write the following equation:
[tex](2x-26)+(7x+8)=180[/tex]
So, we can solve for x, as:
[tex]\begin{gathered} 2x-26+7x+8=180 \\ 9x-18=180 \\ 9x-18+18=180+18 \\ 9x=198 \\ \frac{9x}{9}=\frac{198}{9} \\ x=22 \end{gathered}[/tex]
Therefore, the answer is x = 22
