Question

what is m∠wxz? m∠wxz = 105° (with a diagram showing angles at point x: ∠wxy = 40°, ∠yxz = 115°)

Explanation:

Step1: Analyze the angle relationship

We know that \(m\angle WXZ\) is composed of two angles \(40^{\circ}\) and \(65^{\circ}\). Wait, no. Wait, actually, we can calculate it as follows.

We know that the sum of angles around a point is not relevant here. Wait, looking at the figure (assuming the non - labeled angle adjacent to \(115^{\circ}\) is what we need. Since the sum of adjacent angles forming a linear pair is \(180^{\circ}\). The angle adjacent to \(115^{\circ}\) is \(180 - 115=65^{\circ}\).

Step2: Calculate \(m\angle WXZ\)

\(m\angle WXZ=40^{\circ}+ 65^{\circ}\)

$$m\angle WXZ=(40 + 65)^{\circ}=105^{\circ}$$

Answer:

\(105\)