Answer:
58
Explanation:
Okay! This question is a bit of a long one, so hang in there. First, we know that l and m lines are parallel, which means that their corresponding angles are equal as well (2 and 15, 7 and 13) We also know that 13 and 15 is equal to 180, as well as 7 and 2.
What other information do we have? Well we know that angle measure 7 is 6x+4 and measure 15 is 14x-4. And since m15 is the same as m2, and m7+m2=180, we can figure that m15+m7=180
So: 14x-4+6x+4=180
1. Combine like terms: 20x+0=180
2. Simplify: 20x=180
3. Divide: x=9
Now that we have x, we can solve what m7 is equal to.
6x+4
6(9)+4
54+4=
58
m7=58, and m13=m7 so m13=58