Question

find the measure of \\( \overline { j i } \\).

Explanation:

Step1: Use the SAS (Side - Angle - Side) congruence theorem

Since the two triangles have two pairs of equal angles (\(\angle I=\angle K\), \(\angle K=\angle I\)) and a pair of equal included sides (the common side \(IK\)), the two triangles are congruent.

Step2: Apply the property of congruent triangles

In congruent triangles, corresponding sides are equal. So \(JI = 40\)

Answer:

\(40\)