Question

if the measure of each interior angle of a regular polygon is 176 find the number of sides on the polygon. Show all work.

Answer 1

my bad, it's the formula for vertex angle. .

Answer 2

what is the formula of a vertex angle?

Answer 3

where n is the number of sides. .

Answer 4

(n-2)x(180)/n = 176 --- solve this equation for 'n', 'n' is the number of sides

Answer 5

so what would the answer be?

Answer 6

how about using this. .

Answer 7

n=90
http://www.wolframalpha.com/input/?i=%28n-2%29+%28180%29%2Fn+%3D+176

Answer 8

given that the sum of the interior angles of a triangle s a180, and to find the measure of the vertex angle it use the formula 360/n where n is pertains to the number of sides,

in a regular polygon, from the center, if we create a triangle, it is always isosceles, sometimes equilateral,.

use this..

measure of the 1 interior angle of on the base =(sum of the interior angle - vertex angle)/2

Answer 9

176 = 180 - 360/n
n =90

i got 90 also

Answer 10

ooh, i got it even without the aid of the interior angle formula. .

Yepey! lol

Answer 11

haha. But I know this is bad but I kind of cheated and the answer book says it's 40

Answer 12

huh? lol

Answer 13

are you sure?

Answer 14

yes hey tell me this would it be 40 if the number is 171?

Answer 15

if it's 171, but the given is 176.. :-)

Answer 16

no the given being 171