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 \(x\)

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Answer:

\(84^{\circ}\)