The diagram shows a triangle.

What is the value of z?

z=31°

Step-by-step explanation:

32°+117°+z=180°{ sum of angle of triangle}

z=180-149

z=31°

31 degrees = x

Step-by-step explanation:

a triangle's sum is 180 degrees

let's form an equation that allows us to work backwards and find this

add the other two angle measures to x and let the sum be 180

32+117+x=180

31 is the difference and therefore the missing angle measure

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