In triangle $ABC,$ it is given that angles $B$ and $C$ are congruent. Points $P$ and $Q$ lie on $\overline{AC}$ and $\overline{AB},$ respectively, so that $AP = PQ = QB = BC.$  Find the ratio of $\angle ACB$ to $\angle APQ.$  Enter your answer as a fraction.
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In triangle $ABC,$ it is given that angles $B$ and $C$ are congruent. Points $P$ and $Q$ lie on $\overline{AC}$ and $\overline{AB},$ respectively, so that $AP = PQ = QB = BC.$  Find the ratio of $\angle ACB$ to $\angle APQ.$  Enter your answer as a fraction.
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user
\frac{4}{7}
In triangle $ABC,$ it is given that angles $B$ and $C$ are congruent. Points $P$ and $Q$ lie on $\overline{AC}$ and $\overline{AB},$ respectively, so that $AP = PQ = QB = BC.$  Find the ratio of $\angle ACB$ to $\angle APQ.$  Enter your answer as a fraction.
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