Find the measure of each interior and exterior angle. The diagram is not to scale.

Answer/Step-by-step explanation:

✅m<1 = 90° (right angle)

✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)

✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)

✅m<4 = 115° (vertical angles theorem)

✅m<5 + m<4 = 180° (linear pair)

m<5 + 115° = 180° (substitution)

Subtract 115 from each side

m<5 = 180 - 115

m<5 = 65°

✅m<6 = m<5 (vertical angles are congruent)

m<6 = 65° (substitution)

✅m<7 = m<1 + m<6 (exterior angle theorem)

m<7 = 90° + 65° (substitution)

m<7 = 155°

✅m<8 = 180 - m<7 (linear pair theorem)

m<8 = 180 - 155 (substitution)

m<8 = 25°

✅m<9 = m<7 (vertical angles are congruent)

m<9 = 155° (substitution)

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