Question

find the value of x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be \(y\). So, \(y+58^{\circ}+73^{\circ}=180^{\circ}\).

Step2: Calculate the third - interior angle \(y\)

\(y = 180^{\circ}-(58^{\circ}+73^{\circ})=180^{\circ}-131^{\circ}=49^{\circ}\).

Step3: Use the linear - pair property

The angle \(x\) and the third - interior angle \(y\) form a linear pair. Since the sum of angles in a linear pair is 180°, we have \(x + y=180^{\circ}\). Substituting \(y = 49^{\circ}\), we get \(x=180^{\circ}-49^{\circ}=131^{\circ}\).

Answer:

\(131\)