Answer :
The value of x is 9.
To find the value of x, we can set up a proportion since the polygons are similar.
For the first polygon ABCD, we have:
AB/ EF = BC/ FG = CD/ GH = AD/ EH
Given values:
6/y = 8/6 = 10/z = x/12
We can solve for x by setting up and solving the proportion:
6/y = x/12
Cross multiply:
6×12=xy
72=xy
x= 72/y
Similarly, to find y, we use:
6/y = 8/6
Cross multiply:
6×8=y×6
48=6y
y= 48/6 =8
Now that we have found y, we can substitute it back into the equation for x:
x= 72/8 =9
So, the value of x is 9.
