alhamowimoahmmed9 alhamowimoahmmed9
  • 18-04-2021
  • Mathematics
contestada

calculate the number of sides of a regular polygon with sum interior angles of 2160°.

Respuesta :

Hrishii
Hrishii Hrishii
  • 18-04-2021

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.

Answer Link

Otras preguntas

the most important way in which the greeks influenced american democracy was by allowing?
outcome of most European revolts in the 1830s
why does surface area of a reactant influence the rate of the reaction?
At Elisa's printing company llc there are two kinds of printing presses: model a which can print 70 books per day and model b which witch can print 55 books per
Please help I've been stuck on this question for a while Mark the statement if it accurately describes European history and geography. A. The Alps are mountain
how were the animals rewarded for their hard labour animal farm
Explain why lunar eclipses are more common than solar eclipses and why so few people ever have a chance to view a total solar eclipse
what is 78% of 40?? please help me
solving equations on both sides so solve (3d+8=2d-17) how did you find youre answer
Pictures of the 1920s do the 1930s Great Depression