Find the value of each variable in the figure on the right

Answer:
[tex]x\° = y\° = 76\°[/tex]
Step-by-step explanation:
We know by definition that all three internal angles in a triangle must sum 180°.
[tex]32\° + 72\° + x\° = 180\°\\x\° = 180\° - 72\° - 32\°\\x\° = 76\°[/tex]
Additionally,
[tex]x\° = y\°[/tex], by vertical angles defintion.
Therefore,
[tex]y\° = 76\°[/tex]