Given angles $\angle jkm$, $\angle jkl$, $\angle mkl$, $\angle klm$, and $\angle lmk$, which angle is an adjacent interior angle to $\angle jkm$?

• A. $\angle lmk$
• B. $\angle mkl$
• C. $\angle jkl$
• D. $\angle klm$

Answer: (C)

Verified step by step guidance

1. Step 1: Understand the definition of adjacent interior angles. Adjacent interior angles share a common vertex and a common side, and they lie inside the figure formed by the intersecting lines or polygons.
2. Step 2: Identify the vertex and sides of the given angle \( \angle jkm \). The vertex is point \( k \), and the sides are the segments \( kj \) and \( km \).
3. Step 3: Look for angles that share the vertex \( k \) and one of the sides \( kj \) or \( km \) with \( \angle jkm \). This means the adjacent angle must have \( k \) as the middle letter and either \( j \) or \( m \) as one of the other points.
4. Step 4: From the given angles, \( \angle jkl \) has vertex \( k \) and sides \( kj \) and \( kl \), sharing side \( kj \) with \( \angle jkm \). Therefore, \( \angle jkl \) is adjacent to \( \angle jkm \).
5. Step 5: Confirm that the other angles either do not share the vertex \( k \) or do not share a side with \( \angle jkm \), so they are not adjacent interior angles to \( \angle jkm \).