Question

figure abcd is a parallelogram. what is the value of n? 3 5 17 25 (2n + 32)° (4n - 2)°

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((2n + 32)+(4n-2)=180\).

Step2: Simplify the equation

Combine like - terms: \(2n+4n+32 - 2=180\), which gives \(6n+30 = 180\).

Step3: Solve for \(n\)

Subtract \(30\) from both sides: \(6n=180 - 30=150\). Then divide both sides by \(6\): \(n=\frac{150}{6}=25\).

Answer:

\(25\)