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.