Answer:
x° = 38°
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)