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  4. The acute angle (θ) between lines L1 and L2 with slopes m1 and m2 respectively is given by

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Q. The acute angle $(\theta)$ between lines $L_1$ and $L_2$ with slopes $m_1$ and $m_2$ respectively is given by

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Solution:

The acute angle (say $\theta$ ) between lines $L_1$ and $L_2$ with slopes $m_1$ and $m_2$ respectively, is given by
$\tan \theta=\left|\frac{m_2-m_1}{1+m_1 m_2}\right| \text {, as } 1+m_1 m_2 \neq 0$