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

what is 1+2+3+4+5+6+7+8+9
Which of the following statements is TRUE of a peer-to-peer network? A. Different parties have very different opinions on what can and can’t be shared through a
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the baseball card and t is the time,
How does the film begin its opening scene? How is this different from the beginning of the novella?
pls help find the volume.
5.What type of mic would you use for the following scenario: • You want to pick up a wide range of frequencies , You are looking for an extraordinarily rich rep
I need help ( ik these answers are wrong because i try doing them but i just don’t get it)
meaning and explanation of fortran​
what is the cause of FMD​
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?