Question

which represents an exterior angle of triangle xyz?\
\\(\angle lxz\\)\
\\(\angle jxm\\)\
\\(\angle jxz\\)\
\\(\angle hxj\\)

Explanation:

Step1: Define exterior angle

An exterior angle of a triangle is formed by extending one side of the triangle, creating an angle adjacent to an interior angle.

Step2: Analyze each option

• ∠LXZ: Interior angle of △XYZ (between sides XZ and XL, but XL is not a side extension).
• ∠JXM: Formed by extending side XJ (not a side of △XYZ) at X, not adjacent to an interior angle of △XYZ.
• ∠JXZ: Extend side XZ of △XYZ; the angle adjacent to interior ∠YXZ at vertex X is ∠JXZ, which fits the exterior angle definition.
• ∠HXJ: Formed by two non-triangle sides, not related to △XYZ's side extension.

Answer:

∠JXZ