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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

User Tsionyx
by
7.9k points

1 Answer

3 votes

Answer:

The value of
x is
6.

Explanation:

It is given that
M and
N are supplementary.

So, its expression is given by,
M+N=180\textdegree

It is given that measure of
M and
N is,


\begin{aligned}M&=(9x-10)\\N&=(6x+100)\end{aligned}

Substituting values in the expression,


\begin{aligned}M+N&=180\textdegree\\(9x-10)+(6x+100)&=180\textdegree\\15x&=90\textdegree\\x&=6\end{aligned}

User Hugo Zapata
by
8.2k points

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