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In ΔVWX, \overline{VX} VX is extended through point X to point Y, m∠VWX = (x+8)^{\circ}(x+8) ∘ , m∠WXY = (5x-14)^{\circ}(5x−14) ∘ , and m∠XVW = (2x+8)^{\circ}(2x+8) ∘ . What is the value of x?

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sqdancefan

9514 1404 393

Answer:

  15

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

  ∠WXY = ∠VWX +∠XVW

  5x -14 = (x +8) +(2x +8)

  2x = 30 . . . . . . . . add 14-3x

  x = 15 . . . . . . . . . . divide by 2

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