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

What is the value of x? (angle bisector problem)-example-1
User Stefan Scherer
by
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2 Answers

8 votes

Use angle bisector theorem

  • 77/87.5=22/x-22
  • 77x-1694=1925
  • 77x=3619
  • x=3619/77
  • x=47

User Tjklemz
by
8.0k points
5 votes

Answer:

  • 47

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
User Dorian Maliszewski
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