Answer:[tex]\therefore x=50\°[/tex]Step-by-step explanation:Let the angle between [tex]2x[/tex] and 150° be = b°[tex]150\°+b\°=180\°[/tex] [ Forming a linear pair of angles]Solving for [tex]b[/tex] by subtracting both sides by 150.[tex]150+b-150=180-150[/tex]∴ [tex]b=30\°[/tex][tex]50\°+2x+b\°=180\°\\[/tex] [Angle lying on a straight line add up to 180]Plugging in [tex]b=30\°[/tex][tex]50+2x+30=180\\2x+80=180[/tex]Solving for [tex]x[/tex] by subtracting both sides by 80.[tex]2x+80-80=180-80\\2x=100[/tex]then dividing both sides by 2.[tex]\frac{2x}{2}=\frac{100}{2}\\\\\therefore x=50\°[/tex]