Question

Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.
Which statement regarding the diagram is true?

m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°

Answer 1

m∠WXY + m∠YXZ = 180°

Reason: W, X, Z are collinear so XW and XZ are opposite rays. ∠WXY and ∠YXZ form a linear pair (supplementary), so their measures add to 180°.