(D)
Step-by-step explanation:
If [tex]m\angle{1}[/tex] and [tex]m\angle{2}[/tex] are vertical angles, then [tex]\angle{1} = \angle{2}[/tex] so that
[tex]2x + 16 = 5x - 35[/tex]
[tex]\Rightarrow 3x = 51[/tex]
or
[tex]x = 17[/tex]
Therefore,
[tex]m\angle{1} = 2x + 16 = 2(17) + 16 = 50°[/tex]
