Answer:
The value of [tex]x[/tex] is [tex]6[/tex].
Step-by-step explanation:
It is given that [tex]M[/tex] and [tex]N[/tex] are supplementary.
So, its expression is given by, [tex]M+N=180\textdegree[/tex]
It is given that measure of [tex]M[/tex] and [tex]N[/tex] is,
[tex]\begin{aligned}M&=(9x-10)\\N&=(6x+100)\end{aligned}[/tex]
Substituting values in the expression,
[tex]\begin{aligned}M+N&=180\textdegree\\(9x-10)+(6x+100)&=180\textdegree\\15x&=90\textdegree\\x&=6\end{aligned}[/tex]
