There is a Z-shaped road ABCD in the park, in which ∠ B = ∠ C, there are three small stone benches e, m, f beside AB, BC, CD, and be = CF, M is the midpoint of BC. Try to explain the reason why the three stone benches e, m, f are just in a straight line

There is a Z-shaped road ABCD in the park, in which ∠ B = ∠ C, there are three small stone benches e, m, f beside AB, BC, CD, and be = CF, M is the midpoint of BC. Try to explain the reason why the three stone benches e, m, f are just in a straight line

Angle B = angle c
BE=CF
CM=MB
So the triangle EMB is equal to the triangle MCF
Angle EMB = angle FMC
Then E M f is on a straight line