Question

Figure ABCD is a parallelogram. What is the value of n?

Answer 1

Answer

Find out the what is the value of n.

To prove

By using the parallelogram property .

In parallelogram opposite angels are congruent .

As shown in the figure .

∠B = ∠ D

As given

∠B = (2n + 32)°

∠D = (4n - 2)°

(2n + 32) =  (4n - 2)

solving the above

4n -2n = 32 +2

2n = 34

$n = \frac{34}{2}$

n = 17

Therefore the value of n is 17 .

Answer 2

The answer is 17

In the parallelogram, the opposite angles are equal:
4n - 2 = 2n + 32

Reorder the expression:
4n - 2n = 32 + 2
2n = 34
n = 34/2
n = 17