Q:

Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ

Accepted Solution

A:
Answer: ∠JXZ is the exterior angle of triangle XYZ  Step-by-step explanation:Given the figure in which two parallel lines cut by two transversal line we have to select the exterior angle of triangle XYZ.An exterior angle is the angle formed by one side of triangle and adjacent side when extend.Here, Option A: ∠LXZ∠LXZ is the angle formed by one side but not the extension of adjacent side of triangle therefore not a exterior angle.Option B: ∠JXM∠JXM is not formed by one side of triangle therefore not an exterior angle.Option C: ∠JXZ∠JXZ is the angle formed by one side and the extension of adjacent side of triangle therefore exterior angle.Option D: ∠HXJ∠HXJ is the angle formed by the extension of two sides of the triangle therefore not an exterior angle.Hence, option C is correct.