Step 1 :

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The slope-intercept form of a line equation is $\"\"$ .

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Angle between two lines :

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If two non perpendicular lines have slopes $\"\"$ and $\"\"$ , the angle between the two lines is

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$\"\"$

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Step 2 :

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Line 1 : $\"\"$

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Write the equation in slope-intercept form.

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$\"\"$

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Compare the line equation $\"\"$ with $\"\"$ .

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The slope is $\"\"$

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Line 2 : $\"\"$

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Write the equation in slope-intercept form.

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$\"\"$

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Compare the line equation $\"\"$ with $\"\"$ .

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The slope is $\"\"$

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Step 3 :

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The angle between the two lines is $\"\"$

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Substitute $\"\"$ and $\"\"$ in above equation.

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$\"\"$

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Conversion from degrees to radians :

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Since $\"\"$ radians.

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$\"\"$

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The angle between lines is 1.4289 radians or $\"\"$ .

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Solution :

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The angle between lines is 1.4289 radians or $\"\"$ .