moongirl1466 moongirl1466
  • 24-01-2018
  • Mathematics
contestada

If an interior angle of a regular polygon measures 144°, how many sides does the polygon have?

Respuesta :

saraajassim5oxk5fl
saraajassim5oxk5fl saraajassim5oxk5fl
  • 24-01-2018

It’s a polygonwith10sides

Exterior angle = 180 - Interior angle = 180 - 144 = 36

Total sum of the exterior angles of a polygon = 360

Therefore no. of sides N=36036=10

It’s a decagon.

Aliter :
A polygon with N sides will have the sum of the interior angles = (2N−4) right angles

∴144⋅N=(2N−4)⋅90

144N−180N=−360

36N=360

N=10

It’s a polygon with 10 sides.

i hope u understand :)

Answer Link

Otras preguntas

what is the difference between a moth and a butterfly?
Can anyone help me solve this algebra porblem? -4 2/3=2n/3+1/3+n/3 Negative four and two thirds equals two "n" over three plus one over three plus "n" over thre
Solve this.. ➕+ ➕ + ➕+ ➕=30 Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15) U can also repeat the numbers..
1. (k+7)² =2892. (2s-1)² =2253. (x-4)² =169please help me answer these :)
what are the kinds of formulas to remember in 8th grade?
what is the difference between a moth and a butterfly?
Can anyone help me solve this algebra porblem? -4 2/3=2n/3+1/3+n/3 Negative four and two thirds equals two "n" over three plus one over three plus "n" over thre
Describe and explain how petrol is separated from the mixture of hydrocarbons in crude oil?
which one of the following sentence contains a predicate adjective
what are the kinds of formulas to remember in 8th grade?