Consider that the Alternate Exterior Angles are always equal for a transversal passing through two parallel lines.
The given diagram depicts two incline parallel lines and the vertical line acts as a transversal to them.
Now, angle 1 and angle 8 are alternate exterior angles so they must be equal,
[tex]\begin{gathered} m\angle1=m\angle8 \\ x+74=2x-1 \\ 2x-x=74+1 \\ x=75 \end{gathered}[/tex]So the measure of the angles is given by,
[tex]\begin{gathered} m\angle1=x+74 \\ m\angle1=75+74 \\ m\angle1=149 \end{gathered}[/tex]Thus, both the angles measure 149 degrees.
