stumpidhead
stumpidhead stumpidhead
  • 02-07-2021
  • Mathematics
contestada

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

14
16
18
20

Respuesta :

adioabiola
adioabiola adioabiola
  • 07-07-2021

Answer:

18

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Answer Link

Otras preguntas

i bought the ---- from the sundry shop a. dozen b. loafc. bouquet d. comb
which lines are perpendicular to 3x-y=10? select all that apply A. y=3x+5B. y= -1/3x+17C. x+3y=27D. y-2=1/3 (3x+36)
A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 6/20 of its total height. How much tike, in minutes, does it take for t
A health department estimates that it needs 4 vials of malaria serum to treat 50 people. How many vials are required to treat 875 people?
estimate 66.81 + 10.19
Confucius served as a teacher spreading his ideas; he tried to work in government to bring positive changes. True False PLEASE I NEED HELP !!!!!!!!
Which value is furthest from 0 on the number line? a. 30 b. -31 c. 30.5 d. -31.5
Ebaluate the expression if A=2.4 B=0.237 C=9.94. C-2ab
PLEASE HELP which is a period in the Mesozoic era A. Devonain B. Eocene C. Carboniferous D. Cretaceous
Why does the poet mostly likely use the words “ damp and brown “ to describe the sands