Measure of angle Q is 37 degrees- my reasoning is with the continuation of the two lines that form angle J the theorem of angle correspondence would be correct being that both shapes would be equal...right?
[tex]\text{If}\ \triangle JKL\cong\triangle QRS\ \text{then}\\\\m\angle J=m\angle Q\\m\angle K=m\angle R\\m\angle L=m\angle S\\\\\text{therefore if}\ \angle J=37^o\ \text{then}\ m\angle Q=37^o.[/tex]
