Question

Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Answer 1

AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles

Answer 2

Ac congruent to ac by reflexive property
Triangle acd is congruent to triangle cab by side, side, side
Angle d is congruent to angle b by cpctc (corresponding parts of congruent triangles are congruent) hope this helpef