Question

a carpenter cuts the corners of a rectangle to make the trapezoid shown. what is the value of x? (9x)° (7x + 4)° 5.375 5.5 11 13

Explanation:

Step1: Use the property of adjacent angles in a trapezoid

In a trapezoid formed by cutting the corners of a rectangle, adjacent angles are supplementary. So, \(9x+(7x + 4)=180\).

Step2: Simplify the equation

Combine like - terms: \(9x+7x+4 = 180\), which gives \(16x+4=180\).

Step3: Solve for \(x\)

Subtract 4 from both sides: \(16x=180 - 4=176\). Then divide both sides by 16: \(x=\frac{176}{16}=11\).

Answer:

11