Question

In ΔLMN, \overline{LN} LN is extended through point N to point O, \text{m}\angle MNO (5x+2)^{\circ}m∠MNO(5x+2)∘,\text{m}\angle NLM = (x+10)^{\circ}m∠NLM=(x+10) ∘,and \text{m}\angle LMN = (x+16)^{\circ}m∠LMN=(x+16)∘. What is the value of x?x?