Answer :

We know that m and n are parallel.

Then, x is supplementary of 145 degrees.

This is because the adyacent (and supplementary) angle of x is, with the angle of measure 145 deg, alternate exterior angles and have the same measure.

Therefore, x and the angle of 145 degrees are also supplementary.

If they are supplementary, they add 180 degrees, so we can write:

[tex]\begin{gathered} x+145=180 \\ x=180-145 \\ x=35 \end{gathered}[/tex]

x = 35 degrees

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