Question

"Find the value of X and Y in the parallelogram LMNP.

A. x = 31, y = 2
B. x = -3, y = 2
C. x = 2, y = 31
D. x = 124, y = 10"

Answer 1

For Value of x,

We know, 360 = 2( a+b)

180 = 4x+2x-6

180 = 6x-6

6x = 186

x = 186/6

x = 31

For value of y:

It would be equal,

5y = y+8

5y-y = 8

4y = 8

y = 2

SO, OPTION A IS YOUR ANSWER

Answer 2

So here is how we got the values of x and y based on the given figure above. But before that, take note that in a parallelogram, has opposite angles that are equal and all 4 angles add up to 360. In addition, the parallel sides have equal measurements as well.
So first, let us solve for x:
(4x)(2) + (2x - 6)(2) = 360
8x +4x -12 = 360
12x = 360 +12
12x = 372
x= 31
Next is solve for y:
y + 8 = 5y
y - 5y = -8
-4y = -8
y = 2
Therefore, the value of x is 31 and y is 12. So the answer is option A. Hope this answer helps.