Question

Given: m Il n m 46° 6x - 2 What is the value of x?

Answer 1

The lines m and n are parallel. So, angle given by 46° and (6x-2)° forms an alternate pair of angles.

Since alternate angles are equal, we can write

`\begin{gathered} 46=(6x-2) \\ 46+2=6x \\ 48=6x \\ (48)/(6)=x \\ 8=x \end{gathered}`

So, the value of x is 8.