As shown in the picture, OD.OE They are the bisectors of ∠ AOC and ∠ BOC, ∠ AOD = 40 ° and ∠ BOE = 25 ° respectively. To find the degree of ∠ AOB is not only the answer, but also the process plus the answer

OD.OE They are bisectors of AOC and BOC
Then ∠ AOC = 2 ∠ AOD = 2 * 40 = 80 degrees
∠ BOC = 2 ∠ BOE = 2 * 25 = 50 degrees
Therefore, AOB = AOC + BOC = 80 + 50 = 130 degrees

As shown in figure 4-4-10, OE bisects ∠ BOC and OD bisects ∠ AOC. If ∠ BOE = 20 ° and ∠ AOD = 40 °, calculate the degree of ∠ AOB

906352238 ,
∵ OE bisection ∠ BOC, ∠ BOE = 20 °
∴∠BOE＝∠COE＝20°
∵ od bisection ∠ AOC, ∠ AOD = 40 °
∴∠AOD＝∠COD＝40°
∴∠DOE＝40°＋20°＝60°

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