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what is m∠uwx? m∠uwx = °

Question

what is m∠uwx? m∠uwx = °

Explanation:

Step1: Recall congruent - triangle properties

The two right - angled triangles $\triangle UWX$ and $\triangle UWV$ are congruent (by Hypotenuse - Leg congruence criterion since the hypotenuse and one leg are marked as equal).

Step2: Use angle - congruence

Corresponding angles of congruent triangles are equal. So, $\angle UWX=\angle UWV$.
Since $\angle UWV = 47^{\circ}$, then $\angle UWX=47^{\circ}$.

Answer:

$47$