Work out the value of angle x.
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97°

x = 166

Step-by-step explanation:

the vertex inside the Δ and 97° are adjacent, thus

vertex = 180° - 97° = 83°

The Δ has 2 congruent sides and thus is isosceles, so the base angles are congruent, both 83°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an external angle of the triangle, thus

x = 83 + 83 = 166

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

congruent segments

step-by-step explanation: