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

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

Solve for m

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

Steps for Solving Linear Equation

Multiply 2 and 90 to get 180.

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

Use the distributive property to multiply m-2 by 170.

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

Subtract 340 from 180 to get -160.

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

Use the distributive property to multiply 2\pi -4 by 90.

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

Add 160 to both sides.

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

Add -360 and 160 to get -200.

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

Divide both sides by 170.

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

Dividing by 170 undoes the multiplication by 170.

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

Divide 180\pi -200 by 170.

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