Question

the diagonals of rectangle wxyz intersect at p. given that m yxz = 50° and xz = 16, find the indicated measure. py

Explanation:

Step1: Properties of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So \( WY = XZ\) and \(PY=\frac{1}{2}WY\). Given \(XZ = 16\), then \(WY=16\).

Step2: Calculate \(PY\)

Since \(PY=\frac{1}{2}WY\), substituting \(WY = 16\) into the formula, we get \(PY=\frac{1}{2}\times16\).

Answer:

\(8\)