Question

what is the measure of ∠tsu?

m∠tsu = \boxed{}°

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Explanation:

Step1: Identify congruent triangles

Triangles \( \triangle SWV\) and \( \triangle STU\) are congruent because \( SW = ST\) (radii of the same circle), \( SV = SU\) (radii of the same circle), and \( WV = TU = 38\).

Step2: Use congruent - angles property

Since \( \triangle SWV\cong\triangle STU\) (by SSS - Side - Side - Side congruence criterion), the central angles \( \angle WSV\) and \( \angle TSU\) are equal.

Answer:

\(68\)