Question

Photo included find the value. Of x and y

Answer 1

Opposite sides are equal in length in a parallelogram. Make LM and NP equal to each other in an equation.

y + 8 = 5y
Subtract y from both sides.

8 = 4y
Divide both sides by 4.

y = 2

∠L and ∠P are same-side angles, so that means they both add up to 180°. Make them add up to 180 in an equation.

4x + 2x - 6 = 180
Combine like terms.

6x - 6 = 180
Add 6 to both sides.

6x = 186
Divide both sides by 6.

x = 31

The answer is A) x = 31, y = 2.

Answer 2

Because the shape is a parallelogram, LM and PN have the same length.
Therefore, y+8=5y
8=4y
y=2

Parallelograms have a total angle measure of 360 degrees. Opposite angles have the same measure, and angle MLP and LPN add up to 180 degrees.
Therefore, 2x-8 + 4x=180
6x-8=180
6x=188
x=31.3

This means that the correct option is A.