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?

Answer 1

The exterior angle of Triangle XYZ is ∠JXZ. Option 3

How do you identify an exterior angle of a triangle?

An exterior angle of a triangle is formed when a side of a triangle is extended outwards. Therefore, we can cancel out ∠LXZ and ∠JXM because it does not satisfy this quality.

Each exterior angle is supplementary to its adjacent interior angle (they add up to 180 degrees). Lets cancel ∠HXJ

An exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle (this is known as the exterior angle theorem).

Angle x and y interior, = z exterior.

Therefore ∠JXZ is the exterior angle for XYZ. HXY is another exterior angle to XYZ. But it has not be provided in the list of options.