Question

properties of isosceles triangles (diagram)
question
find m∠ywx.

Explanation:

Step1: Recall isosceles - triangle property

In an isosceles triangle, if two sides are equal, the angles opposite those sides are equal. Here, since \(WY = WX\), \(\angle WXY=\angle WYX = 48^{\circ}\).

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle YWX=x\). Then \(x + 48^{\circ}+48^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\[

$$\begin{align*} x&=180^{\circ}-(48^{\circ}+ 48^{\circ})\\ x&=180^{\circ}-96^{\circ}\\ x& = 84^{\circ} \end{align*}$$

\]

Answer:

\(84^{\circ}\)