Respuesta :

Answer:

[tex] \boxed{\sf A. \ x = 10 \degree} [/tex]

Given:

∠AOC = 90°

∠AOB = 3x° + 46°

∠BOC = 14°

To Find:

Value of x

Step-by-step explanation:

∠AOC = ∠AOB + ∠BOC

90° = 3x° + 46° + 14°

90° = 3x° + 60°

3x° + 60° = 90°

3x° = 90° - 60°

3x° = 30°

x = [tex] \sf \dfrac{30}{3} [/tex]°

x = 10°