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

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - angles are equal. So, $\angle A=\angle C$ and $\angle B=\angle D$. Here, $\angle B=(2n + 32)^{\circ}$ and $\angle D=(4n-2)^{\circ}$, and since $\angle B=\angle D$ in parallelogram $ABCD$. We set up the equation $2n + 32=4n-2$.

Step2: Solve the equation for $n$

First, subtract $2n$ from both sides of the equation: $2n+32-2n=4n - 2-2n$. This simplifies to $32 = 2n-2$. Then, add 2 to both sides: $32 + 2=2n-2 + 2$, which gives $34 = 2n$. Finally, divide both sides by 2: $\frac{34}{2}=\frac{2n}{2}$, so $n = 17$.

Answer:

17