Given,
The measure of two adjacent interior angles is x+121 degree and x+81 degree.
As known that,
The sum of adjacent interior angles between parallel line is 180 degree.
According to the question,
[tex]x+121^{\circ}+x+81^{\circ}=180^{\circ}[/tex]
Simplifying the expression,
[tex]\begin{gathered} 2x+202^{\circ}=180^{\circ} \\ 2x=-22^{\circ} \\ x=-11^{\circ} \end{gathered}[/tex]
Hence, the value of x is -11 degree.
