Question

what is the value of u?

u = □□°

Explanation:

Step1: Recall the property of isosceles triangle

In an isosceles triangle, the base - angles are equal. Here, triangle \(WXY\) is isosceles (two sides are marked equal). Let the two equal angles be \(\angle W\) (denoted as \(u\)) and \(\angle Y\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(u + u+62^{\circ}=180^{\circ}\).
Combine like terms: \(2u+62^{\circ}=180^{\circ}\).
Subtract \(62^{\circ}\) from both sides: \(2u = 180^{\circ}-62^{\circ}\).
\(2u=118^{\circ}\).
Divide both sides by 2: \(u=\frac{118^{\circ}}{2}\).

Answer:

\(59\)