Respuesta :

Answer:

x = 38 degrees

Step-by-step explanation:

If angle CBE = 52 degrees, then angle ABD is also 52 degrees, as the two angles are "vertical angles."

The sum of the interior angles of a triangle is 180 degrees.  Therefore,

x + 52 degrees + 90 degrees = 180 degrees, and so

x = 180 - (52 + 90), or x = 38 degrees