Respuesta :

m∠YVZ = 90°

The measure of the angle formed by 2 chords  that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs. 

(arcYZ+38)/2 = 90
arcYZ + 38 = 90*2
arcYZ + 38 = 180
arcYZ  = 180 - 38
arcYZ = 142°

Answer:

arcYZ = 142

Step-by-step explanation:

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