Question

what is m∠vwx?
m∠vwx = \boxed{}^\circ
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Explanation:

Step1: Identify triangle congruence

Triangles \( \triangle WVU \) and \( \triangle WXU \) have \( WV = WX = 40 \), \( \angle WVU=\angle WXU = 90^\circ \), and \( WU \) is common. So \( \triangle WVU \cong \triangle WXU \) (HL congruence). Thus, \( \angle VWU=\angle XWU = 43^\circ \).

Step2: Calculate \( \angle VWX \)

\( \angle VWX=\angle VWU+\angle XWU \). Substituting values, \( \angle VWX = 43^\circ+43^\circ = 86^\circ \).

Answer:

\( 86 \)