Find the value of each variable in each parallelogram.

a=109° b=71°

Step-by-step explanation:

All the angles in a parallelogram add up to 360. There are a few rules:

The opposite angles are congruent.

Consecutive angles are congruent.

We can apply these rules here.

71 is opposite to b

and a is consecutive to 71 so we can put together these equations.

180=71+a

71=b

we can simplify to get the answers

the end

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet