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QUESTION IMAGE

what is sv? sv = submit

Question

what is sv? sv = submit

Explanation:

Step1: Apply the Angle - Bisector and Perpendicular Distance Theorem

Since \( \angle UTV=\angle STV = 62^{\circ}\), \(VT\) is the angle - bisector of \( \angle UTS\). Also, \(VU\perp UT\) and \(VS\perp ST\). According to the Angle - Bisector Theorem, the distance from a point on the angle - bisector to the two sides of the angle is equal.

Step2: Determine the length of \(SV\)

We know that \(VU = 49\). By the Angle - Bisector Theorem (the distances from a point on the angle - bisector to the sides of the angle are equal), \(SV=VU\).

Answer:

\(49\)