We have the tangent equation
tan θ = (m2-m1)/(1+m1m2)
How to solve this to find m2?
$$\tan\theta(1+m_1m_2)=m_2-m_1$$ $$\tan\theta+m_1=m_2-m_2m_1\tan\theta$$ then complete
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$$\tan\theta(1+m_1m_2)=m_2-m_1$$ $$\tan\theta+m_1=m_2-m_2m_1\tan\theta$$ then complete