Whakaoti i te 2*90^circ+(m-2)*170^circ=(2pi-4)*90^circ

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

Whakaoti mō m

$$m = \frac{18 \pi - 20}{17} \approx 2.149921633$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 2 ki te 90, ka 180.

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

Whakamahia te āhuatanga tohatoha hei whakarea te m-2 ki te 170.

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

Tangohia te 340 i te 180, ka -160.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2\pi -4 ki te 90.

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

Me tāpiri te 160 ki ngā taha e rua.

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

Tāpirihia te -360 ki te 160, ka -200.

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

Whakawehea ngā taha e rua ki te 170.

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

Mā te whakawehe ki te 170 ka wetekia te whakareanga ki te 170.

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

Whakawehe 180\pi -200 ki te 170.

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