Question

find the value of x that makes m n 137-x

Answer 1

For m and n to be parallel, x and 137 must be supplementary. This is because they are consecutive interior angles.

The sum of x and 137 must be 180, this is:

$\begin{gathered} x+137=180 \\ x=180-137 \\ x=43 \end{gathered}$

x has a value of 43°.