B4. 2) ∠MOT = 160°, ∠ROT + ∠ROM = 4(∠ROT - ∠ROM) - 10°, ∠ROT, ∠ROM - ?

Question

Вопрос:

B4. 2) ∠MOT = 160°, ∠ROT + ∠ROM = 4(∠ROT - ∠ROM) - 10°, ∠ROT, ∠ROM - ?

Accepted Answer

1. ∠MOT = 160°. ∠ROT + ∠ROM = 4(∠ROT - ∠ROM) - 10°. ∠ROT + ∠ROM = 4∠ROT - 4∠ROM - 10°. 5∠ROM = 3∠ROT - 10°.
2. ∠MOT = ∠ROM + ∠ROT.
3. 160° = ∠ROM + ∠ROT. ∠ROT = 160° - ∠ROM. Substitute into the equation from step 1: 5∠ROM = 3(160° - ∠ROM) - 10°. 5∠ROM = 480° - 3∠ROM - 10°. 8∠ROM = 470°. ∠ROM = 470°/8 = 235°/4 = 58.75°. ∠ROT = 160° - 58.75° = 101.25°.

B4. 2) ∠MOT = 160°, ∠ROT + ∠ROM = 4(∠ROT - ∠ROM) - 10°, ∠ROT, ∠ROM - ?

Ответ: