Question

given (\triangle rwscong\triangle tuv), determine the value of (x).

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle RWS\cong\triangle TUV\), corresponding angles are equal. So, \(\angle R=\angle V\).

Step2: Set up the equation

We know that \(\angle R=(8x - 27)^{\circ}\) and \(\angle V = 29^{\circ}\). Then the equation is \(8x-27=29\).

Step3: Solve the equation for \(x\)

Add \(27\) to both sides: \(8x=29 + 27\), so \(8x=56\).
Divide both sides by \(8\): \(x=\frac{56}{8}\).

Answer:

\(x = 7\)