Question

Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines.
Which represents an exterior angle of triangle XYZ?

∠LXZ
∠JXM
∠JXZ
∠HXJ

Answer 1

∠JXZ

Reason: J, X, Y are collinear (line d), so XJ is the extension of side XY through X, and XZ is the side XZ. The angle between the extension XJ and side XZ is an exterior angle at vertex X.