Question

what is the value of z?

z =

submit

Explanation:

Step1: Identify the triangle type

Since the two angles at \(S\) and \(T\) are equal (marked with the same arc), \(\triangle STU\) is an isosceles triangle. In an isosceles triangle, the sides opposite the equal angles are equal.

Step2: Determine the value of \(z\)

The side opposite the angle at \(S\) is \(TU = 24\), and the side opposite the angle at \(T\) is \(SU=z\). Because the angles at \(S\) and \(T\) are equal, \(z = TU\).

Answer:

\(24\)