Question

find the value of x.
if necessary, you may learn what the markings on a figure indicate.

Explanation:

Step1: Use the property of isosceles triangle

Since the two sides are marked equal, the triangle is isosceles. The base - angles of an isosceles triangle are equal. Let's first find the non - right angle of the right - angled triangle. The sum of angles in a triangle is \(180^{\circ}\). In the large right - angled triangle, one angle is \(90^{\circ}\) and another is \(28^{\circ}\). The third angle (let's call it \(y\)) is \(y = 180^{\circ}-90^{\circ}-28^{\circ}=62^{\circ}\).

Step2: Use the exterior - angle property or angle subtraction

The angle adjacent to \(y\) in the isosceles triangle: Let the base - angles of the isosceles triangle be \(z\). We know that the angle adjacent to \(y\) in the isosceles triangle is \(z\). Since the two sides of the isosceles triangle are equal, and using the fact that the angle adjacent to \(y\) and \(z\) relationship.
We know that \(x = 90^{\circ}-62^{\circ}\)

Answer:

\(x = 28^{\circ}\)