In the figure, lines AB, CD and EF intersect at O. Find the measures of ∠AOE, ∠EOD, ∠BOD and ∠COF.

Since line AB and EF intersect at O
⇒ ∠AOE = ∠BOF = 35°
Again, since line AB and CD intersect at O,
⇒ ∠DOB = ∠AOC = 30°
Now ∠AOC + ∠COF + ∠BOF = 180°
⇒ 30° + ∠COF + 35° = 180°
    .^.. ∠COF = 180° - 30° - 35° = 115°
Again ∠EOD = ∠COF = 115°