Question

△fed ≅ △uvw. what is m∠e?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Find the third - angle of \(\triangle UVW\)

Let the third angle of \(\triangle UVW\) be \(\angle U\). Then \(m\angle U=180-(78 + 63)=180 - 141=39^{\circ}\).

Step3: Use the property of congruent triangles

Since \(\triangle FED\cong\triangle UVW\), corresponding angles are equal. \(\angle E\) corresponds to \(\angle V\).
So \(m\angle E = 78^{\circ}\).

Answer:

78