Question

find $m\angle vyw$.
$m\angle vyw = \square^\circ$

Explanation:

Step1: Identify right angle at Y

$\angle WYX = 90^\circ$ (marked by square)

Step2: Calculate $\angle VYW$

$\angle VYT + \angle VYW + \angle WYX = 180^\circ$ (straight line TX)
$\angle VYW = 180^\circ - 31^\circ - 90^\circ = 59^\circ$

Answer:

59