Given:
Line l1 and l2 are parallel.
And having the corresopnding angles
![\begin{gathered} 8x\degree \\ (2x+60)\degree \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lw6l4kads9oawjo8ds23pwdd8382l1v5kh.png)
Required:
To find the value of x.
Step-by-step explanation:
We know that if two lines are parallel, then the corresponding angles are equal.
So
![\begin{gathered} 8x\degree=(2x+60)\degree \\ \\ 8x-2x=60 \\ \\ 6x=60 \\ \\ x=(60)/(6) \\ \\ x=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zs1i0evnpwxlwlxviysva9uabwn06fbmbh.png)
Final Answer:
The option D is correct.
![x=10](https://img.qammunity.org/2023/formulas/mathematics/college/d4kp84hb0kn5zx8g4oaot3wet1alj6oxzb.png)