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complete the congruence statement. n k l m ≅ submit work it out

Question

complete the congruence statement.
n k l m ≅
submit
work it out

Explanation:

Step1: Match the vertices

In congruent polygons, corresponding vertices are in the same order.
For quadrilateral \(NKLM\) and the other quadrilateral, start with vertex \(N\). Looking at the angles and side - markings:

  • Vertex \(N\) corresponds to vertex \(T\) (since the side adjacent to \(109^{\circ}\) angles in the first quadrilateral \(NKLM\) and the second quadrilateral).
  • Vertex \(K\) corresponds to vertex \(U\) (as the side with one marking and \(71^{\circ}\) angle).
  • Vertex \(L\) corresponds to vertex \(V\) (side with two markings and \(109^{\circ}\) angle).
  • Vertex \(M\) corresponds to vertex \(W\) (side with two markings and \(71^{\circ}\) angle).

Answer:

\(NKLM\cong TUVW\)