Question

Срочно помогите пожалуйста

Answer 1

Ответ:

$70^{\circ}; \quad 106^{\circ}; \quad 89^{\circ};$

Пошаговое объяснение:

$\angle B=180^{\circ}-\angle BAC-\angle BCA=180^{\circ}-2\angle CAM-2\angle ACN;$

$\angle B=180^{\circ}-2 \cdot 19^{\circ}-2 \cdot 36^{\circ}=180^{\circ}-38^{\circ}-72^{\circ}=70^{\circ};$

$\angle ANC=180^{\circ}-\angle NAC-\angle ACN=180^{\circ}-2\angle CAM-\angle ACN;$

$\angle ANC=180^{\circ}-2 \cdot 19^{\circ}-36^{\circ}=180^{\circ}-38^{\circ}-36^{\circ}=106^{\circ};$

$\angle AMC=180^{\circ}-\angle CAM-\angle MCA=180^{\circ}-\angle CAM-2\angle ACN;$

$\angle AMC=180^{\circ}-19^{\circ}-2 \cdot 36^{\circ}=161^{\circ}-72^{\circ}=89^{\circ};$