Question

△bcd ~ △xwy. what is m∠w? m∠w = □°

Explanation:

Step1: Find \(m\angle D\)

In \(\triangle BCD\), use the angle - sum property of a triangle (\(m\angle B + m\angle C+m\angle D=180^{\circ}\)).
Given \(m\angle B = 48^{\circ}\), \(m\angle C = 76^{\circ}\).

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Step2: Use the property of similar triangles

Since \(\triangle BCD\sim\triangle XWY\), corresponding angles are equal.
\(\angle D\) corresponds to \(\angle Y\), \(\angle B\) corresponds to \(\angle W\), \(\angle C\) corresponds to \(\angle X\).

Answer:

\(48\)