In the figure below, m angle a=3x+5;m angle b=5x-18 , and m angle c=7x-2 .

∠a=44,∠b=47, ∠c=89

Step-by-step explanation:

we can note that

∠a+∠b+∠c=180

hence,

3x+5+5x-18+7x-2=180

therefore,

3x+5x+7x+5-18-2=180

15x-15=180

15x=180+15

15x=195

x=

then, x=13.

with this values we can find all the angles:

∠a=3x+5 ⇒∠a=3(13)+5⇒∠a=39+5⇒∠a=44

∠b=5x-18⇒∠b=5(13)-18⇒∠b=65-18⇒∠b=47

∠c=7x-2⇒∠c=7(13)-2⇒91-2⇒∠c=89

We can corroborate these result by adding them.

∠a+∠b+∠c=

44+47+89=180

Thats right !!

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