Enter the number that belongs in
the green box.
x = [? ]
y = [ ]

Answer:
x = [96°]
y = [ 84°]
Step-by-step explanation:
These are two straight lines that intersect to create vertical angles.
Recall that vertical angles are congruent.
Therefore:
[tex]y = 84 \degree[/tex]
Also recall that angles on a straight line add up to 180.
This implies that:
[tex]x + 84 = 180[/tex]
Subbtract 84 from both sides to get:
[tex]y = 180 - 84[/tex]
[tex]y = 96 \degree[/tex]