Respuesta :

ujalakhan18

Answer:

x = 20

y = 5

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary (add up to 180°).

So,

6x + 17 + 2x + 3 = 180

Combine like terms

6x + 2x + 17 + 3 = 180

8x + 20 = 180

Subtract 20 to both sides

8x = 180 - 20

8x = 160

Divide 8 to both sides

x = 160 / 8

x = 20

Now,

Opposite sides of parallelogram are equal.

So,

JK = ML

6y - 13 = 32 - 3y

Add 3y and 13 to both sides

6y + 3y = 32 + 13

9y = 45

Divide 9 to both sides

y = 45 / 9

y = 5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

mhanifa

Answer:

  • x = 20, y = 5

Step-by-step explanation:

Looks like we need to find the values of x and y.

Given is the parallelogram.

Properties we'll use:

  • Opposite sides are parallel and congruent
  • Adjacent angles are supplementary

Find the value of y:

  • JK = ML
  • 6y - 13 = 32 - 3y
  • 6y + 3y = 32 + 13
  • 9y = 45
  • y = 5

Find the value of x:

  • ∠J and ∠M are supplementary, so their sum is 180°.
  • 6x + 17 + 2x + 3 = 180
  • 8x + 20 = 180
  • 8x = 160
  • x = 20

If you need to find the side or angle measures just plug in the values of x or y.