Find the value of x, giving reasons for your answer:

Answer:
x = 55
Step-by-step explanation:
[tex](x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = \frac{110}{2} \\ \\ x = 55[/tex]
Answer:
x = 55°
Step-by-step explanation:
When any 2 lines intersect each other at one point , the vertically opposite angles are always equal. Hence ,
[tex]150 - x = x + 40[/tex]
[tex] = > x + x = 150 - 40[/tex]
[tex] = > 2x = 110[/tex]
[tex] = > x = \frac{110}{2} = 55[/tex]