Find the value of each variable

Answer:
Therefore,
[tex]x=28\\\\y=28[/tex]
Step-by-step explanation:
First label the diagram Such that
∠ABE = 90°
∠DBE = 62°
∠DBC = 90°
∠ABD = x°
∠EBC = y°
To Find:
x = ?
y = ?
Solution:
By Angle Addition Property we have
[tex]\angle ABE=\angle ABD +\angle DBE[/tex]
Substituting the values we get
[tex]90=x+62\\\\\therefore x=90-62=28\\\\x=28[/tex]
Similarly,
[tex]\angle DBC=\angle EBC +\angle DBE[/tex]
Substituting the values we get
[tex]90=y+62\\\\\therefore y=90-62=28\\\\y=28[/tex]
Therefore,
[tex]x=28\\\\y=28[/tex]