Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of y?

Because JKLM is a parallelogram, MT = TK.

MT: 8y + 18
TK : 12y - 10

MT = TK
8y + 18 = 12y - 10
8y - 12y = -10 -18
-4y = -28
y = -28/-4
y = 7

MT: 8y + 18 → 8(7) + 18 = 56 + 18 = 74
TK : 12y - 10 → 12(7) -10 = 84 - 10 = 74

The value of y is 7.

Answer Link

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-02-07T18:27:18+01:00

The diagonals of the parallelogram bisect each other.

The value of the y is 7.

What is the property of diagonals of parallelogram?

The diagonals of the parallelogram bisect each other. Thus the length of diagonals is divided in half from the point of intersection.

Given information-

The value of the line segment MT is,

[tex]MT=8y+18[/tex]

The value of the line segment TK is,

[tex]TK=12y-10[/tex]

As the diagonals of the parallelogram bisect each other. Thus,

[tex]MT=TK[/tex]

Put the values as,

[tex]8y+18=12y-10\\[/tex]

Rearrange the equation as,

[tex]12y-8y=18+10\\[/tex]

Solve it for the value of [tex]y[/tex] as,

[tex]4y=28\\y=7[/tex]

Hence the value of the y is 7.

Learn more about the property of diagonal of parallelogram here;

https://brainly.com/question/12053038