Given ∠ AOB and ray OC, OM and on divide ∠ AOC and ∠ BOC equally. (1) if OC is outside ∠ AOB, try to explore the relationship between ∠ mon and ∠ AOB. (Fig. 2) (2) if OC is inside ∠ AOB, what is the relationship between ∠ mom and ∠ AOB? (Figure 1)

Given ∠ AOB and ray OC, OM and on divide ∠ AOC and ∠ BOC equally. (1) if OC is outside ∠ AOB, try to explore the relationship between ∠ mon and ∠ AOB. (Fig. 2) (2) if OC is inside ∠ AOB, what is the relationship between ∠ mom and ∠ AOB? (Figure 1)

(1) ∵ OM and on are divided into ∠ AOC and ∠ BOC, respectively, ∵ com = 12 ∠ AOC, ∵ con = 12 ∠ BOC, ∵ mon = ∵ COM + ∵ con = 12 (∵ AOC + ∵ BOC) = 12 ∠ AOB; (2) ∵ OM and on are divided into ∠ AOC and ∠ BOC, respectively, ∵ com = 12 ∠ AOC, ? con = 12 ∠ BOC, ? mon = ? com - ? con