Beydler666 Beydler666
  • 17-07-2014
  • Mathematics
contestada

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

Respuesta :

AL2006
AL2006 AL2006
  • 17-07-2014
The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

n = 12
Answer Link

Otras preguntas

HELP!! What is the value of x?
I just need a recipe for tacos and spagetti tacos ;-;
If interest is compounded every 3 months, how often is it compounded? A. Monthly B.Semianually C.quarterly D. Annually (Apex)
Which type of pollution interferes with respiratory organs and causes health problems
Rose bought three feet of ribbon how many inches of ribbon did Rose buy​
3 example of mathematics in everyday life
Ms. Graves gave her class 124 minutes to read. Carrie read 5 and a 1/2 pages in that time. At what rate, in pages per ¼ of a day, did Carrie read?
4. MARKERS A student bought a box of markers. She gave 6 markers toher friend. She gave 8 markers to each of her two brothers. Then herbrother gave her 14 of hi
Please help thank you
What type of relationship does this pair of angles have? 161 and 19 degrees