Question

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

Answer 1

• XY = 17

Explanation:

From the figure,

• XY = 2x - 1
• WZ = x + 8

As we know that opposite sides of the parallelogram are equal and from the given figure we can conclude that WZ and XY are the opposite sides, i.e they are equal.

`\hookrightarrow\sf XY = WZ`

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

Subtract x from both sides,

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

`\hookrightarrow\sf x - 1 = 8`

Add 1 on both sides,

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

`\hookrightarrow\sf x = 9`

Since, XY = 2x - 1

`\hookrightarrow\sf XY = 2(9)- 1`

`\hookrightarrow\sf XY = 18 - 1`

`\hookrightarrow\sf XY = 17`

Henceforth, the value of XY is 17

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