Answer:
Second option.
Step-by-step explanation:
The angle [tex](3x+17)\°[/tex] and the angle [tex](4x-8)\°[/tex] are alternate exterior angles, then they are congruent. So we can can find "x":
[tex]3x+17=4x-8\\17+8=4x-3x\\x=25[/tex]
Then, the angle [tex](4x-8)\°[/tex] is:
[tex](4x-8)\°=(4(25)-8)\°=92\°[/tex]
You can observe that the angle identified in the figure attached as "3" and the angle 46° are Alternate interior angles, then they are congruent.
Since the sum of the measures of the angles that measure 92°, 46° and the angle "2" is 180°, we can find the measure of the angle "2" by solving this expression:
[tex]92\°+46\°+\angle 2=180\°\\\\\angle 2=180\°-92\°-46\°\\\\\angle 2=42\°[/tex]
