In the figure above, MQ and NR intersect at point P. NP=QP and MP=PR. If the measure of ∠QPR is 70∘, which of the following statements must be true?
∠QMR=∠NQP
∠NRM+∠NQP=105∘
∠NPM=∠QMR+∠NQP
∠QMR=∠NRM