Given △PQR∼△LMN , m∠Q=113° , and m∠R=26° , what is the measure of angle N ?

Since △PQR∼△LMN, we know that the corresponding angles are congruent.

Therefore, m∠N = m∠Q = 113°.
Hence, the measure of angle N is 113°. Answer: \boxed{113}.