Final answer:
If angles 13 and 14 are corresponding angles, we can set up an equation to find the value of x and then substitute it into the expression for m_2.
Step-by-step explanation:
Given that line a is parallel to line b and that line c is parallel to line d, we can conclude that angles 13 and 14 are corresponding angles. Corresponding angles that are formed by parallel lines are congruent.
Therefore, if m_13 = (12x - 22)° and m_14 = (93-29)°, we can set up the equation:
(12x - 22)° = (93-29)°
Simplifying the equation, we have:
12x - 22 = 64
12x = 86
x = 7.17
To find m_2, we substitute the value of x into the expression for m_2:
m_2 = 12x - 22 = 12(7.17) - 22 = 70°
Therefore, the answer is B. 70°.