Answer:
A
Step-by-step explanation:
1. Line l is cut by line a (let it be named a, because the figure doesn't show its name). Angles 1 and 6 are vertical, so they are congruent.
2. Line m is cut by line a. Angles 3 and 8 are vertical, so they are congruent.
3. Parallel lines l and m are cut by transversal a. Angles 6 and 3 are congruent as alternate interior angles.
Hence,
[tex]3x+25=4x-17,\\ \\3x-4x=-17-25,\\ \\-x=-42,\\ \\x=42^{\circ}.[/tex]
4. The measure of angle 6 is
[tex]3x+25=3\cdot 42+25=126+25=151^{\circ}.[/tex]
5. Angles 6 and 2 are supplementary angles, so they add up to 180°:
∠2=180°-∠6=180°-151°=29°
