Equation to find m2(slope of second line) from the tangent equation.

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We have the tangent equation

tan θ = (m2-m1)/(1+m1m2)

How to solve this to find m2?

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On

$$\tan\theta(1+m_1m_2)=m_2-m_1$$ $$\tan\theta+m_1=m_2-m_2m_1\tan\theta$$ then complete