The obtuse angle between the lines y = -2 and | vedclass

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(B) The slope of the line $y = -2$ is $m_1 = 0$ (as it is a horizontal line).The slope of the line $y = x + 2$ is $m_2 = 1$.The angle $	heta$ between

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$135$

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(B) The slope of the line $y = -2$ is $m_1 = 0$ (as it is a horizontal line).The slope of the line $y = x + 2$ is $m_2 = 1$.The angle $	heta$ between two lines with slopes $m_1$ and $m_2$ is given by $	an 	heta = |\frac{m_2 - m_1}{1 + m_1 m_2}|$.Substituting the values,$	an 	heta = |\frac{1 - 0}{1 + (0)(1)}| = |\frac{1}{1}| = 1$.Thus,the acute angle is $	heta = 45^o$.The obtuse angle between the lines is $180^o - 45^o = 135^o$.

The obtuse angle between the lines $y = -2$ and $y = x + 2$ is ....$^o$

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