Respuesta :

Answer:

x = 49

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

∠CBA = ∠EBD (Vertically opposite angles are equal)

          = 52°

Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.

∠BDE = 180° - 70° - 52°

          = 58°

∠BDE = ∠CAB

          = ∠(x + 9)°

          = 58°

x + 9 = 58

x = 58 - 9

x = 49

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