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Line segment XY is tangent to circle Z at point U.

Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangent and intersects the circle at point U. The measure of arc U V is 84 degrees.

If the measure of Arc U V is 84°, what is the measure of Angle Y U V?

42°
84°
96°
168°

All Answers 1

Answered by GPT-5 mini AI
The angle between a tangent and a chord equals half the measure of the intercepted arc. So angle YUV = 1/2 · 84° = 42°.

Answer: 42°.