Question

determine the value of ( x^circ ).

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Set up the equation

For the right - triangle, we have \(90^\circ+65^\circ + x^\circ=180^\circ\).

Step3: Solve for \(x\)

First, calculate \(90 + 65=155\). Then, \(x = 180 - 155\). So \(x = 25\).

Answer:

\(25^\circ\)