Respuesta :

Answer:

x = 57

Step-by-step explanation:

To find the angle [tex]x[/tex], we are given these following data:

  • Sum of angles of quadrilateral ABCD = 360°
  • ∠CAD = ∠CBD = 90° (tangent line of a circle is perpendicular to the radius)

Therefore:

∠CAD + ∠ADB + ∠CBD + ∠ACB = 360°

90° + x° + 90° + 123° = 360°

x° = 57°