Question

what is m∠yxz? m∠yxz = °

Explanation:

Step1: Use angle - bisector property

Since the segments from \(Z\) to the two sides of \(\angle WXY\) are perpendicular and equal (the red - marked segments), \(XZ\) is the angle - bisector of \(\angle WXY\). So \(\angle WXZ=\angle YXZ\).

Step2: Set up an equation

We know that \(\angle WXZ = v + 25^{\circ}\) and \(\angle YXZ=2v\). Then \(v + 25^{\circ}=2v\).

Step3: Solve for \(v\)

Subtract \(v\) from both sides of the equation \(v + 25^{\circ}=2v\). We get \(25^{\circ}=2v - v\), so \(v = 25^{\circ}\).

Step4: Find \(m\angle YXZ\)

Since \(m\angle YXZ = 2v\), substitute \(v = 25^{\circ}\) into the expression. Then \(m\angle YXZ=2\times25^{\circ}=50^{\circ}\).

Answer:

\(50\)