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M and N are supplementary. The measure of M is (9x-10) and the measure of n is (6x +100). Solve for x

Sagot :

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]

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