Question

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

Answer 1

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}`