Question

The given figures are parallelograms. Find the indicated measure. Show all work.
Find XY

Answer 1

• XY = 17

Explanation:

We have to find XY.

Since we know that opposite sides of the parallelogram are equal and In the given figure, XY and WZ are the opposite sides, i.e they are equal.

XY = WZ

`\sf 2x - 1 = x + 8`

Solving for x,

`\sf 2x - 1 = x + 8`

Subtract x from both sides,

`\sf 2x - x - 1 = x - x + 8`

`\sf x - 1 = 8`

Add 1 on both sides,

`\sf x - 1 + 1 = 8 + 1`

`{\boxed{\sf {x = 9 }}}`

Hence,

`\sf XY = 2x + 1`

`\sf XY = 2(9) + 1`

`\sf XY = 18 -1`

`{\boxed{\sf{ XY = 17}}}`

Henceforth, the value of XY is 17