Предмет: Математика, автор: vikavika0010101

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Автор ответа: nurasylzhumagul96
1

Ответ:

Пошаговое объяснение:

Задача 1

∠3 = ∠1 (вертикальные углы)

∠2 = ∠4

360° = ∠1 + ∠2 + ∠3 + ∠4

360° = 54° + ∠2 + 54° + ∠4

360° = 108° + ∠2 + ∠4

252° = ∠2 + ∠4

∠2 = ∠4 = 126°

Ответ: ∠1 = 54°, ∠2 = 126°, ∠3 = 54°, ∠4 = 126°

Задача 2

∠3 = ∠1 (вертикальные углы)

∠2 = ∠4 (вертикальные углы)

∠2 + ∠4 = 84°

∠2 = ∠4 = 42°

360° = ∠1 + 42 + ∠3 + 42

360° = 84° + ∠1 + ∠3

276° = ∠1 + ∠3

∠1 = ∠3 = 138°

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