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

which factors affect the force of gravity between two objects? a. weight and mass of the two objects b. mass and distance between the two objects c. weight and
The perpendicular bisector of a line segment is called​
Which of the following is not part of dna
At its lowest level, about ________ percent of our total daily energy expenditure is attributable to basal metabolism.
0.25(x + 4) - 3 = 28
Raymond bought a car for $40, 000. He took a $20,000 loan from a bank at an interest rate of 15% per year for a 3-year period. What is the total amount (interes
Write 110 as a product of primes​
According to the results of your work and time, what the blockchain will do for you is called Liepingcoin. In other words, the amount of quota given to you depe
Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€
Define viral plaque forming unit .