Question

find ( mangle vyw ).
( mangle vyw=square^{circ} )

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle TYW = 90^{\circ}\) (right - angle) and \(\angle TVY=31^{\circ}\). The sum of \(\angle VYW\) and \(31^{\circ}\) is \(90^{\circ}\) (complementary angles).

Step2: Calculate \(m\angle VYW\)

Let \(m\angle VYW=x\). Then \(x + 31^{\circ}=90^{\circ}\). Solving for \(x\), we get \(x=90^{\circ}-31^{\circ}\).

Answer:

\(59\)