Question

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M. Which angle is an adjacent interior angle to ∠JKM? a.∠JKLb. ∠MKLc. ∠KLM d.∠LMK

Answer 1

The adjacent interior angle to ∠JKM in triangle KML is ∠KLM, as it shares a common ray with the exterior angle.

Step-by-step explanation:

The student is working on a geometry problem related to triangles and adjacent interior angles. An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. To find the adjacent interior angle to ∠JKM in triangle KML, we look for the angle inside the triangle that shares a common ray with the exterior angle ∠JKM. The correct answer is ∠KLM (option c), because it sits inside the triangle and shares ray KM with the exterior angle ∠JKM.