Concept:Use the angle sum of a triangle: the three interior angles add to 180∘.Explanation:In △KGL, the angles are ∠KGL=87∘, ∠LKG=38∘, and x=∠GLK.Sum of angles in a triangle is 180∘:87∘+38∘+x=180∘Simplify:125∘+x=180∘x=180∘−125∘x=55∘Answer:x=55∘, so the correct option is B.