The triangle KLM has sides KL and LM marked as congruent. Angle KML is given as 47°.
Step 2: Deduce the type of triangle
Since KL and LM are congruent, triangle KLM is an isosceles triangle.
Step 3: Find the measure of angle LKM
In an isosceles triangle, the angles opposite the congruent sides are congruent. Therefore, angle LKM is congruent to angle KML, which measures 47°. Thus, m∠LKM = 47°.