Question

I need help on this question can someone please help me?

The subject is geometry and is about parallelograms

Answer 1

opposite angles in a parallelogram are equal so
4n - 2 = 2n + 32
you move the 2n to the left side of the = (trying to get all the n values on one side of the equation) and move the - 2 to the right side of the =
when you move a value to the opposite side of the = the thing becomes the opposite. so 2n is a positive so when you move it to the left it becomes a negative so -2n. the -2 is a minus so when you move it to the right side of the = it becomes a plus so +2
4n - 2n = 32 + 2
you add/subtract the like terms so
2n = 34
then you move the 2 from the 2n to the opposite side of the = as you’re trying to get n on its own. 2n has a hidden multiply (2 x n) so when you move it to the opposite side of the = the multiply becomes the opposite which is divide so the equation is now
n = 34 ÷ 2
n = 17

Answer 2

I really hate these algebra problems pretending to be geometry.

Anyway angles B and D are congruent in a parallelogram. Geometry part done.

4n - 2 = 2n + 32

2n = 34

n = 17

Answer: 17, which is the 3rd choice