If \( 2 \mathrm{a} \) and \( 2 \mathrm{~b} \) are the two sides of a triangle and contain an ang...

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If \( 2 \mathrm{a} \) and \( 2 \mathrm{~b} \) are the two sides of a triangle and contain an angle of \( 120^{\circ} \). If the angle opposite to side \( 2 \mathrm{a} \) is \( \theta \), then the value of \( \tan \theta \) is
a. \( \frac{2 a \sqrt{3}}{2 a+b} \)
b. \( \frac{\mathrm{a} \sqrt{3}}{\mathrm{a}+2 \mathrm{~b}} \)
c. \( \frac{2 b \sqrt{3}}{a+2 b} \)
d. \( \frac{b \sqrt{3}}{2 a+b} \)
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