Question

find m∠vyw. m∠vyw=◻°

Explanation:

Step1: Use the property of right - angle

We know that the angle between the horizontal and vertical line is \(90^{\circ}\). Let \(\angle VYW = y\), and we are given one of the non - right angles in the right - angled figure as \(31^{\circ}\).

Step2: Apply the angle sum formula for right - angled situation

In a right - angled situation (where the sum of two non - right angles in a right - angled 'corner' is \(90^{\circ}\)), if one angle is \(31^{\circ}\), then \(y+31^{\circ}=90^{\circ}\).

Step3: Solve for \(y\)

Subtract \(31^{\circ}\) from both sides of the equation \(y + 31^{\circ}=90^{\circ}\). So, \(y=90^{\circ}-31^{\circ}\).

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

Answer:

\(59\)