Question

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

Answer 1

Use angle bisector theorem

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

Answer 2

• 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