Question

In the figure, quadrilateral ABCD≅≅ quadrilateral LMNO. Find m. Only type the numerical amount.

Answer 1

Using our congruence statement $ABCD \cong LMNO$, we know that corresponding angles match, so that means that $\angle M \cong \angle B$.  We know that $m \angle B=131$, so that means that $m \angle M=131$.  This gives us the equation 
m + 45 = 131
Subtract 45 from both sides to cancel it and we have 
m = 86.