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what is m∠wxz? m∠wxz = ?°

Question

what is m∠wxz? m∠wxz = ?°

Explanation:

Step1: Analyze the relationship between angles

We know that the sum of adjacent angles forming a linear - like relationship around a point. Here, \(m\angle WXZ\) and the \(115^{\circ}\) angle are related in a way that we can use the angle - addition property.

Step2: Calculate \(m\angle WXZ\)

We use the formula \(m\angle WXZ=180^{\circ}-(115^{\circ} - 40^{\circ})\). First, calculate the value inside the parentheses: \(115^{\circ}-40^{\circ}=75^{\circ}\). Then, \(m\angle WXZ = 180^{\circ}-75^{\circ}\).

Answer:

\(105\)