If Figure, if `Q T_|_P R ,/_T Q R=40^0` AND `/_S P R=30^0,` find `x` and `ydot` Figure

Explanation

To solve the problem, we will follow these steps:

### Step 1: Analyze Triangle TQR
We know that \(QT\) is perpendicular to \(PR\), which means that \(\angle QTR = 90^\circ\). We are also given that \(\angle TQR = 40^\circ\). We need to find \(\angle TRQ\) (denoted as \(x\)).

### Step 2: Apply the Angle Sum Property
According to the angle sum property of triangles, the sum of all angles in a triangle is \(180^\circ\). Therefore, we can write the equation for triangle \(TQR\):

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