Answer:
[tex]\underline{\underline{\boxed{\sf x=25^o}}}[/tex]
Step-by-step explanation:
The angles are vertical angles. Vertical → congruent.
Since they are congruent, we can set their measures equal to each other.
[tex]\sf 150^o=(4x+50)^o[/tex]
Solve for x:-
[tex]\sf 150^o=4x+50^o[/tex]
[tex]\sf 100=4x[/tex]
[tex]\sf 25=x[/tex]
[tex]\sf x=25^o[/tex] ← Answer