Question

figure abcd is a parallelogram. what is the value of n? 3 5 17 25

Explanation:

Step1: Use 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: \(6n=180 - 30\), so \(6n=150\). Then divide both sides by 6: \(n=\frac{150}{6}=25\).

Answer:

25