Find the unknown angles

Angle COD is 20° and angle BOE is 155°.

Think of the line is the middle of a circle and each half of the circle equals 180° and the whole circle equals 360°. Now to find <COD you must take the measure of <AOD and subtract that from 180 which will give you <COD. To find <BOE you think of it as a whole circle. You must add <DOE to <COD and <BOC. After finding this sum you must subtract this from 360 giving you <BOE.

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

i hope this is what you were looking for.

see attached graph