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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

In triangle $ABC$, the measure of angle $A$ is $52^{\circ }$ and $AC=35$. In triangle $PQR$, the measure of angle $P$ is $52^{\circ }$ and $PR=105$.

Which additional piece of information is sufficient to prove that triangle $ABC$ is similar to triangle $PQR$?

A

$AB=30$ and $PQ=30$.

B

$AB=30$ and $QR=90$.

C

The measures of angle $B$ and angle $R$ are $34^{\circ }$ and $94^{\circ }$, respectively.

D

The measures of angle $B$ and angle $Q$ are $52^{\circ }$ and $34^{\circ }$, respectively.