In disc golf, player tries to throw a disc into a metal basket target. four disc golf targets on a course are shown in the diagram. Which line segment represents the targets that have the shortest distance between them?

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Step-by-step explanation:

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  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

Find:

  ∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.