Question

LMNP is a square A, B midpoints of LM and PN Q ∈ AB m∠LPQ = 45° Find: m∠PQN

Answer 1

Look at the picture.

ΔPQB and ΔNQB are congruent therefore m∠PQB = m∠NQB
 therefore m∠PQN =  m∠PQB + m∠NQB

m∠PQN = 45° + 45° = 90°