Answer:
∠LOM is 48°
Step-by-step explanation:
∠MOL+∠MON=180°
6x°+12°+7x°-92°=180°
13x°-80°=180°
Add 80° to both sides
13x°=260°
Divide both sides by 13
x°=20°
Plugging x° into the equation for ∠LOM, we get:
7×20°-92°=
140°-92°=
48°
