2*90^circ+(m-2)*170^circ=(2pi-4)*90^circ eching

$$2 \times 90 ^ { \circ } + ( m - 2 ) \times 170 ^ { \circ } = ( 2 \pi - 4 ) \times 90 ^ { \circ }$$

m uchun yechish

$$m = \frac{18 \pi - 20}{17} \approx 2,149921633$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

180 hosil qilish uchun 2 va 90 ni ko'paytirish.

$$180+\left(m-2\right)\times 170=\left(2\pi -4\right)\times 90$$

m-2 ga 170 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180+170m-340=\left(2\pi -4\right)\times 90$$

-160 olish uchun 180 dan 340 ni ayirish.

$$-160+170m=\left(2\pi -4\right)\times 90$$

2\pi -4 ga 90 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-160+170m=180\pi -360$$

160 ni ikki tarafga qo’shing.

$$170m=180\pi -360+160$$

-200 olish uchun -360 va 160'ni qo'shing.

$$170m=180\pi -200$$

Ikki tarafini 170 ga bo‘ling.

$$\frac{170m}{170}=\frac{180\pi -200}{170}$$

170 ga bo'lish 170 ga ko'paytirishni bekor qiladi.

$$m=\frac{180\pi -200}{170}$$

180\pi -200 ni 170 ga bo'lish.

$$m=\frac{18\pi -20}{17}$$