Question

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?

Answer 1

Answer: A.(42)

Step-by-step explanation: got it right on edg2020

Answer 2

Answer:

138°

Step-by-step explanation:

∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)

84° + x = 360°

arc YV = 276°

arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.

276° ÷ 2 = 138°

∠YUV = 138°