Question

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

Explanation:

Step1: Apply parallelogram angle property

In a parallelogram, consecutive angles are supplementary, so their sum is $180^\circ$.
$$(2n + 32) + (4n - 2) = 180$$

Step2: Simplify the left side

Combine like terms.
$$6n + 30 = 180$$

Step3: Isolate the variable term

Subtract 30 from both sides.
$$6n = 180 - 30$$
$$6n = 150$$

Step4: Solve for n

Divide both sides by 6.
$$n = \frac{150}{6}$$

Answer:

25