∠MON = 150° ∠NOK = 25% ∠MOK ∠NOK, ∠MOK - ?

Пусть ∠MOK = $$x$$, тогда ∠NOK = $$0.25x$$.

∠MON = ∠NOK + ∠MOK

$$150° = 0.25x + x$$

$$150° = 1.25x$$

$$x = \frac{150°}{1.25} = \frac{150°}{\frac{5}{4}} = 150° \cdot \frac{4}{5} = 30° \cdot 4 = 120°$$

∠MOK = $$x = 120°$$

∠NOK = $$0.25 \cdot 120° = \frac{1}{4} \cdot 120° = 30°$$

Ответ: ∠NOK = 30°, ∠MOK = 120°