Three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.

90 degrees, 120 degrees and 150 degrees

Step-by-step explanation:

Given that three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.

First add up all the ratio

3 + 4 + 5 = 12

For ratio 3

3/12 × 360 = 90 degree

For ratio 4

4/12 × 360 = 120 degree

For ratio 5

5/12 × 360 = 150 degree

90 + 120 + 150 = 360 degree.

The angles are therefore, 90 degrees, 120 degrees and 150 degrees

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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