Question

solve for x in the rectangle

Explanation:

Step1: Use the property of rectangle

In a rectangle, \( \angle DEF = 90^{\circ}\), so \( (2x + 8)+(9x - 6)=90\)

Step2: Simplify the equation

Combine like - terms: \(2x+9x+8 - 6=90\), which is \(11x+2 = 90\)

Step3: Solve for \(x\)

Subtract 2 from both sides: \(11x=90 - 2=88\). Then divide both sides by 11: \(x=\frac{88}{11}=8\)

Answer:

\(x = 8\)