Question

Given: WZ is perpendicular to VY, WZ bisects VY, VZ = 2x+2, and ZY = 3x-4

What is VY?

18
28
14
6

Answer 1

28

Explanation:

Answer 2

The measure of VY is 28 units

Solution:

To find: The measure of VY

From the given,

WZ bisects VY, then we can conclude that VZ = ZY ---> (1)

VZ=2x+2 and ZY=3x-4

Substituting the above values in (1) we get,

`2x+2=3x-4\rightarrow2x-3x=-4-2`

`\Rightarrow-1x=-6\rightarrow-x=-6`

`\Rightarrow x=6`

Since, WZ bisects VY, VY=VZ+ZY ---> (2)

On substituting the value of x in (2) we get,

`VY=(2x+2)+(3x-4)=(2*6+2)+(3*6-4)`

`VY=(12+2)+(18-4)\rightarrow VY=(14)+(14)`

`\Rightarrow VY=28 \text{ units }`