Question

find ( mangle vxm ).
( mangle vxm=)

Explanation:

Step1: Use the property of right - angle

We know that the sum of the angles in a right - angle (90°) is composed of ∠TYV and ∠VYW. Let \(m\angle VYW=x\).
We have the equation \(m\angle TYV + m\angle VYW=90^{\circ}\).

Step2: Substitute the known value

Given \(m\angle TYV = 31^{\circ}\), substituting into the equation \(31^{\circ}+x = 90^{\circ}\).

Step3: Solve for \(x\)

Using the subtraction property of equality, \(x=90^{\circ}-31^{\circ}\).

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

Answer:

\(59\)