PLz help! brainlist will be picked!

32a.) => (2x) + (x-3) = 90 <= (that's the equation, below shows work how to solve it).

32a.) => x = 31

32b.) m∠KPN = 62°

32c.) 28 ≅ m∠MPL

Step-by-step explanation:

=> We know that Angles KPN and NPO are complementary angles (Sum up    

     to 90°), so we can say:

(∠KPN) + (∠NPO) = 90

(2x) + (x-3) = 90

3x - 3 = 90

3x = 93

x = 93/3

x = 31

=> Now that we know the x-value, we can Substitute that in for the equation

    of m∠KPN to find it's measure:

m∠KPN = 2x

m∠KPN = 2(31)

m∠KPN = 62°

=> For the third part of the question we know that m∠NPO and m∠MPL are congruent since they are vertical angles, which means if we find the measure of angle NPO we, we would know the measure of angle MPL:

m∠NPO = x - 3

m∠NPO = (31) - 3

m∠NPO = 28

We know that:

m∠NPO ≅ m∠MPL

28° ≅ m∠MPL

Hope this helps!

details

step-by-step explanation:

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