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

which of these is a primary source
The water cycle is possible because of continuous movement and storage. Explain how the water cycle would be impacted if there was no storage available?
Are there many people affected by healthcare (point)
Which body system is responsible for coordinating actions such as breathing, talking, walking, and blinking? digestive system Skeletal system Nervous system
what are the building blocks of an essay
Please help! I will mark as brainliest IF answer is right. <3
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Write the equation that represents the cost, y, of the boat rental
The temperature and Williams town is 78 and the temperature in Parkville is 13 cooler what is the temperature in Parkville
Please help! I will mark as brainliest IF answer is right. <3
helooo please help me​