In triangles def and opq, ∠d ≅ ∠o, ∠f ≅ ∠q, and segment df ≅ segment oq. is this information sufficient to prove triangles def and opq congruent through sas? explain your answer.

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

Sum is 17 and their difference is 3

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.