Find the values of x and y in the diagram below

Firstly, since (2x + 1) and (x + 26) are vertical angles, we can solve them as such:

Next, add 25 to 26 to get the (x + 26) value:

51° and (3y - 60) are a linear pair. Using this info, we can solve for it as such:

In short, x = 25 and y = 63.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet