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Ответ

Автор - XidQisent73

№14

Дано:

∠AOB=∠AOE+∠EOB;

∠AOB=66°;

∠EOB=38°

Найти: ∠AOE=?

Решение:

∠AOB=∠AOE+∠EOB ⇒ ∠AOE=∠AOB-∠EOB ⇒ ∠AOE=66°-38°=28°

Ответ: ∠АОЕ=28°

№2.

Дано:

∠AOB=∠AOE+∠EOB;

∠AOB=150°;

∠АОЕ=∠ЕОВ+18°

Найти: ∠ЕОВ=?

Решение:

∠AOB = ∠AOE+∠EOB = ∠ЕОВ+18°+∠EOB = 2∠EOB+18° ⇒ ∠EOB= frac{AOB-18}{2} ⇒ ∠EOB= frac{150-18}{2} = frac{132}{2} = 66°

Ответ: ∠ЕОВ=66°

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