ANSWER
![x=115\degree](https://img.qammunity.org/2023/formulas/mathematics/high-school/4q82tdnga1ghfhwk1n5oi5t18te125k1ro.png)
Step-by-step explanation
We want to find the value of x that makes l₁ parallel to l₂.
To find the value of x, we can use the sum of angles on a straight line. The sum of angles on a straight line is 180 degrees.
The transversal passes through l₂ and divides it into x and 65 degrees which means that:
![x+65=180](https://img.qammunity.org/2023/formulas/mathematics/high-school/pgb2h6gw0g5rooxh8vy2benvdneuck7io7.png)
Solve for x:
![\begin{gathered} x=180-65 \\ x=115\degree \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fdsh3grow3l2bnmcyaarh7h4ryr461dgvr.png)
That is the value of x.