SOLUTION
We want to find the missing angles below
Angle 1 and 86 degree makes a straight-line, so
[tex]\begin{gathered} \text{angle 1 + 86}\degree=180\degree \\ \text{angle 1 = 180 - 86} \\ \text{angle 1 = }94\degree \end{gathered}[/tex]
Angle 2 is vertically opposite to 86 degrees,
Hence angle 2 is 86 degrees
Angle 3 is vertically opposite to angle 1, so
Angle 3 is 94 degrees
angle 6 is corresponding to angle 3,
So angle 6 is 94 degrees
Angle 4 is vertically opposite to angle 6
Hence angle 4 is 94 degrees
Angle 5 is corresponding to 86 degrees
Hence angle 5 is 86 degrees
Angle 5 is vertically opposite to
[tex]\begin{gathered} (2x+25)\degree \\ \text{But angle 5 = 86}\degree \\ So \\ (2x+25)\degree=86\degree \\ 2x+25=86 \\ 2x=86-25 \\ 2x=61 \\ x=\frac{61}{2} \\ x=30.5 \end{gathered}[/tex]
Hence x is 30.5
