Question

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

x =

Explanation:

Step1: Determine the type of triangle

Since two sides are marked as equal, the triangle is isosceles. In an isosceles right - angled triangle (the large triangle is right - angled as one angle is \(90^{\circ}\) and two sides are equal), the two non - right angles are \(45^{\circ}\) each.

Step2: Calculate \(x\)

We know that one of the angles in the smaller triangle is \(66^{\circ}\). Using the angle sum property of a right - angled triangle (\(90^{\circ}\) in total for non - right angles in a right - angled triangle). So \(x = 90 - 66\)

Answer:

\(24\)