Question

question 2 of 50
the value of x is:
two triangles with angle and side markings
options: 48°, 114°, 66°

Explanation:

Step1: Find the third angle of the first triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle of the first triangle be \(y\).
\(y + 48^{\circ}+66^{\circ}=180^{\circ}\)
\(y=180^{\circ}-(48^{\circ} + 66^{\circ})\)
\(y = 66^{\circ}\)

Step2: Analyze the second triangle

The second triangle is an isosceles triangle (marked with side - length equality). In an isosceles triangle, angles opposite to equal sides are equal.
Since the first triangle has an angle \(y = 66^{\circ}\), and considering the properties of triangles (assuming some relation like congruence or similarity based on the problem's figure - likely congruence as the markings suggest).

Answer:

\(66^{\circ}\)