Justify that \(\angle WYZ = \angle W + \angle X\) using the properties of parallel lines.
Proof:
Construct a line \(YE\) parallel to \(WX\).
If \(WX \parallel YE\) and \(WY\) is the transversal, then \(∠W = ∠WYE\) .....(1) [Since ]
If \(WX \parallel YE\) and \(XZ\) is the transversal, then \(∠X=∠EYZ\) ......(2) [Since ]
\(∠WYZ = ∠WYE + ∠EYZ\) []
From equations (1) and (2), \(∠WYZ = ∠W + ∠X\).
Hence, proved.