Question

figure jklm is a parallelogram. the measures of line segments mt and tk are shown. what is the value of y? 1 2 7 8

Explanation:

Step1: Set segments equal (diag bisect)

In a parallelogram, diagonals bisect each other, so $MT = TK$.
$8y + 18 = 12y - 10$

Step2: Rearrange to isolate y terms

Subtract $8y$ from both sides.
$18 = 4y - 10$

Step3: Isolate the y term

Add 10 to both sides.
$28 = 4y$

Step4: Solve for y

Divide both sides by 4.
$y = \frac{28}{4}$

Answer:

7 (Option C)