Respuesta :

Answer:

x° = 38°

Step-by-step explanation:

See the given figure attached.

Here, ∠ OML and ∠ OLN are supplementary and hence,  

∠ OML = 180° - 84° = 96° ......... (1)

Again, ∠ OLM and ∠ OLK are supplementary and hence,

∠ OLM = 180° - 134° = 46° ........... (2)

Now, in triangle Δ OLM, ∠ OLM + ∠ OML + ∠ MOL = 180°

⇒ 46° + 96° + x° = 180° {From equations (1) and (2)}

⇒ x° = 38° (Answer)