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

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Quadrilateral $P^{\prime }{Q}^{\prime }{R}^{\prime }{S}^{\prime }$ is similar to quadrilateral $PQRS$, where $P$, $Q$, $R$, and $S$ correspond to $P^{\prime }$, $Q^{\prime }$, $R^{\prime }$, and $S^{\prime }$, respectively. The measure of angle $P$ is $40^{\circ }$, the measure of angle $Q$ is $70^{\circ }$, and the measure of angle $R$ is $90^{\circ }$. The length of each side of $P^{\prime }{Q}^{\prime }{R}^{\prime }{S}^{\prime }$ is $4$ times the length of each corresponding side of $PQRS$. What is the measure of angle $P^{\prime }$?

A

$10^{\circ }$

B

$40^{\circ }$

C

$50^{\circ }$

D

$160^{\circ }$