Question

question
find m∠wyx.
answer attempt 1 out of 2
m∠wyx =
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Explanation:

Step1: Identify congruent triangles

Since \(WX = VX\) and \(WV = VV\) (common side), \(\triangle WVX\) is isosceles.

Step2: Use angle - sum property

In \(\triangle WVX\), let \(m\angle WVX=\theta\). We know that in a triangle, the sum of angles is \(180^{\circ}\). Given one angle \(m\angle VXW = 52^{\circ}\), and because \(WX = VX\), the base - angles are equal. So \(m\angle WVX=(180 - 52)\div2\)

$$m\angle WVX=\frac{180 - 52}{2}=\frac{128}{2}=64^{\circ}$$

Answer:

\(64\)