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QUESTION IMAGE

find the shortest side of △uvw.

Question

find the shortest side of △uvw.

Explanation:

Step1: Find the third - angle.

The sum of angles in a triangle is 180°. Let the third angle be \(x\). So \(x=180-(61 + 55)=64^{\circ}\).

Step2: Recall the angle - side relationship.

In a triangle, the shortest side is opposite the smallest angle.
The smallest angle is \(55^{\circ}\), and the side opposite the \(55^{\circ}\) angle is \(UW\).

Answer:

\(UW\)