B1. 2) ∠MON = 120°, ∠MOK : ∠KOR = 3 : 4, ∠MOR, ∠KOR, ∠MOK - ?

Question

Вопрос:

B1. 2) ∠MON = 120°, ∠MOK : ∠KOR = 3 : 4, ∠MOR, ∠KOR, ∠MOK - ?

Accepted Answer

1. ∠MON = 120°. ∠MOK : ∠KOR = 3 : 4. Let ∠MOK = 3x, ∠KOR = 4x.
2. ∠MON = ∠MOK + ∠KOR.
3. 120° = 3x + 4x. 120° = 7x. x = 120°/7. ∠MOK = 3 * 120°/7 = 360°/7, ∠KOR = 4 * 120°/7 = 480°/7. ∠MOR = ∠MON = 120°.

B1. 2) ∠MON = 120°, ∠MOK : ∠KOR = 3 : 4, ∠MOR, ∠KOR, ∠MOK - ?

Ответ: