7 ∠MOK : ∠KOF : ∠FON = 10 : 5 : 3, ∠MOK, ∠KOF, ∠FON -?

∠MON = 180° (развернутый угол)

Пусть ∠MOK = 10x, ∠KOF = 5x, ∠FON = 3x

10x + 5x + 3x = 180°

18x = 180°

x = 10°

∠MOK = 10 × 10° = 100°

∠KOF = 5 × 10° = 50°

∠FON = 3 × 10° = 30°

Ответ: ∠MOK = 100°, ∠KOF = 50°, ∠FON = 30°