Question

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what is ( mangle wxz )?
( mangle wxz=square^circ )

Explanation:

Step1: Analyze the angle relationship

The sum of angles around a point is \(360^{\circ}\). Here, we know two angles (\(40^{\circ}\) and \(115^{\circ}\)) and we need to find \(m\angle WXZ\).

Step2: Calculate \(m\angle WXZ\)

We use the formula \(m\angle WXZ=360^{\circ}-(40^{\circ} + 115^{\circ})\).
First, calculate the sum of the known angles: \(40^{\circ}+115^{\circ}=155^{\circ}\).
Then, \(m\angle WXZ = 360^{\circ}-155^{\circ}=205^{\circ}\). But wait, this is wrong. Wait, no - actually, if we assume that \(WY\) and \(W\) - the other ray (assuming it's a straight - line situation in a wrong initial thought). Wait, no, looking at the problem again, if we assume that the three angles (\(40^{\circ}\), \(m\angle WXZ\), and \(115^{\circ}\)) are not around a full - circle but in a plane where one of the angles is a reflex angle. But no, more likely, there is a mis - interpretation. Wait, actually, if we consider that the angle \(m\angle WXZ\) is composed of two non - overlapping angles. Wait, no, another approach: if we assume that the figure is such that we can use the angle - addition property. Wait, no, the correct formula is \(m\angle WXZ=40^{\circ}+115^{\circ}\) (if the angles are adjacent and form \(\angle WXZ\)).

Answer:

\(155\)