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Find measure of the angle UTW

Find measure of the angle UTW-example-1

1 Answer

5 votes

Answer:

57°

Explanation:

Using the Law of sines,


  • (sin57)/(WT) = (sinx)/(UT)
  • But, WT = UT [both are radii of the circle]
  • ⇒ sin 57° = sin x°
  • ⇒ x° = ∠UTW = 57°
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