Question

what is the value of t?
j
4t
86
i
k

t+72
86
h

t =
submit

Explanation:

Step1: Use the Angle Bisector Theorem

Since \(IK\) is the perpendicular bisector of \(JH\), \(IJ = IH\). So, \(4t=t + 72\).

Step2: Solve the equation

Subtract \(t\) from both sides: \(4t-t=t + 72-t\).
This gives \(3t=72\).
Divide both sides by 3: \(t=\frac{72}{3}\).

Answer:

\(24\)