Question

what is the value of u?
h
30
j
u
i
u =

Explanation:

Step1: Apply the Isosceles Triangle Theorem

In a triangle, if two angles are congruent, then the sides opposite those angles are congruent. Here, angles at \(H\) and \(I\) are congruent (marked with the same arc), so the sides opposite them (\(IJ\) and \(HJ\)) are congruent.

Step2: Set up the equality

Since \(HJ = 30\) and \(IJ=u\), and \(HJ = IJ\) (by the Isosceles Triangle Theorem), we have \(u = 30\).

Answer:

\(30\)