Assuming that "l" and "m" are parallel, we solve this by corresponding angles.
The term corresponding angles is often used when two lines are cut by a third line, a transversal. The corresponding angles postulate states that if "l" and "m" are parallel, then the pairs of corresponding angles are congruent.
Therefore we can do the following equality:
![4x+7=6x-63](https://img.qammunity.org/2023/formulas/mathematics/high-school/fv2z5aaviy1soto1gf7hzcf7wu0pn5ofk0.png)
Now, we solve to "x"
![\begin{gathered} 6x-4x=4+63 \\ 10x=70 \\ x=(70)/(2) \\ x=35 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vf9l29jxdqtsqjfhy7r27ak4kdsw174ruq.png)
In conclusion, the answer is:
![x=35](https://img.qammunity.org/2023/formulas/mathematics/college/nuc9d622be56m804rmyoux93mwyeirrson.png)