The value of x in the given figure is:

The correct answer is Option (4) → 110°

The angle x is formed at A by the two sides of the triangle extended beyond A, so it is vertically opposite to the angle BAC inside the triangle, and vertically opposite angles are equal. The angle BAC comes from the angle sum of a triangle.

• \(\angle BAC=180^\circ-(27^\circ+43^\circ)=180^\circ-70^\circ=110^\circ\)

• \(x=\angle BAC=110^\circ\)

Tip: The figure is not drawn to scale (x looks much smaller than 110°). In geometry questions, work from the marked values and the angle rules, never from how large an angle looks.