Question

Find measure of the angle UTW

Answer 1

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°