Answer:
x = 30°
Step-by-step explanation:
m∠ONK = 180° (straight angle)
∠ONM + ∠MNL + ∠LNK = 180° (supplementary angles)
105° + 45° + m∠LNK = 180° (substitution)
m∠LNK = 30° (algebra)
m∠LNK + m∠NLK + m∠LKN = 180° (sum of interior angles of a triangle)
30° + 90° + 2x = 180° (substitution, m∠NLK = 90° bc supplementary angles; other supp. angle is 90°)
120° + 2x = 180°
2x = 60°
x = 30°
