Angles given (or in a ratio): find sides or ratio of sides by the sine rule

1. A.
   $1:6$
2. B.
   $\sqrt{3}:(2+\sqrt{3})$
3. C.
   $1:(2+\sqrt{3})$
4. D.
   $2:3$

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1. A.
   $2:\sqrt{2}:(\sqrt{3}+1)$
2. B.
   $\sqrt{2}:2:(\sqrt{3}+1)$
3. C.
   $(\sqrt{3}+1):\sqrt{2}:2$
4. D.
   $2:(\sqrt{3}+1):\sqrt{2}$

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1. A.
   $b$
2. B.
   $b\sqrt{2}$
3. C.
   $2b$
4. D.
   $\sqrt{3}b$

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1. A.
   $\sqrt{3}+1:2\sqrt{2}$
2. B.
   $2\sqrt{2}:\sqrt{3}+1$
3. C.
   $2\sqrt{2}:\sqrt{3}-1$
4. D.
   $\sqrt{3}-1:2\sqrt{2}$

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1. A.
   $\sqrt{3}:(2+\sqrt{3})$
2. B.
   $2:(1+\sqrt{3})$
3. C.
   $1:(2+\sqrt{3})$
4. D.
   $2:\sqrt{3}$

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1. A.
   $(\sqrt{3}-1):1$
2. B.
   $\sqrt{3}:\sqrt{5}$
3. C.
   $\sqrt{2}:\sqrt{3}$
4. D.
   $(\sqrt{3}-1):4$

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1. A.
   $b = \sqrt{3}, c = \sqrt{3}$
2. B.
   $b = 2\sqrt{3}, c = \sqrt{3}$
3. C.
   $b = \sqrt{3}, c = 2\sqrt{3}$
4. D.
   $b = \sqrt{3}, c = \dfrac{1}{\sqrt{3}}$

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