find the value of x.\nx = \\square

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with ticks), so it's isosceles. The base angle is (33^\circ), so the other base angle is also (33^\circ).

Step2: Calculate vertex angle

The sum of angles in a triangle is (180^\circ). Let the vertex angle be (V), so (V = 180 - 2\times33 = 114^\circ).

Step3: Find (x) (angle bisector)

The segment bisects the vertex angle, so (x=\frac{114}{2}=57).

Answer:

(57)