GAUSS7 2022 Problem 12

In the diagram, \triangle P Q R is isosceles with P Q=P R, and Q R S T is a rectangle. If \angle Q P R=70^{\circ}, \angle P Q R=x^{\circ}, and \angle R Q T=y^{\circ}, the value of x+y is

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Answer Choices
A. 70
B. 90
C. 160
D. 145
E. 60