#1
From the given figure
Triangle MEN congruent to triangle YOB
That means
Since
The sum of the measure of the angles in a triangle is 180 degrees
Then to find m[tex]\begin{gathered} \angle M=180^{\circ}-\angle N-\angle E \\ \angle M=x-7 \\ \angle N=90 \\ \angle E=40 \\ x-7=180-90-40 \\ x-7=50 \end{gathered}[/tex]Add 7 to both sides
[tex]\begin{gathered} x-7+7=50+7 \\ x=57 \end{gathered}[/tex]
The value of x is 57
