Question

(d) problem 22: (first taught in lesson 52) find x in parallelogram dler. after you enter your answer press go. x =

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, \((5x + 18)+4x=180\).

Step2: Simplify the equation

Combine like - terms: \(5x+4x+18 = 180\), which gives \(9x+18=180\).

Step3: Solve for \(x\)

Subtract 18 from both sides: \(9x=180 - 18\), so \(9x=162\). Then divide both sides by 9: \(x=\frac{162}{9}\).

Answer:

\(x = 18\)