Question

answer attempt 1 out of 2
m∠ywx =
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Explanation:

Step1: Identify isosceles triangle

Since $YW = YX$, $\triangle YWX$ is isosceles.

Step2: Recall angle - sum property

In $\triangle YWX$, let $\angle YWX=\angle YXW = x$. The sum of interior angles of a triangle is $180^{\circ}$, so $x + x+48^{\circ}=180^{\circ}$.

Step3: Solve for $x$

Combining like - terms gives $2x=180^{\circ}- 48^{\circ}=132^{\circ}$. Then $x = \frac{132^{\circ}}{2}=66^{\circ}$.

Answer:

$66$