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Zinaida [17]
2 years ago
6

What is the value of x? (angle bisector problem)

Mathematics
1 answer:
VladimirAG [237]2 years ago
7 0

Answer:

  • 47

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

  • VT/KT = VY/KY

Substitute the lengths and solve for x:

  • 77/87.5 = 22/(x - 22)
  • 77(x - 22) = 87.5*22
  • 77x - 77*22 = 1925
  • 77x = 1925 + 1694
  • 77x = 3619
  • x = 3619/77
  • x = 47
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