Question

find ( mangle vyw ).
( mangle vyw=)

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle TXW = 90^{\circ}\) (right - angle). \(\angle VYT=31^{\circ}\), and \(\angle VYW+\angle VYT = 90^{\circ}\) (because \(\angle TXW\) is composed of \(\angle VYW\) and \(\angle VYT\)).

Step2: Calculate \(\angle VYW\)

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

$$x = 59^{\circ}$$

Answer:

\(59\)