Question

what is the difference between (n-2)x180 degree and (2n-4)x90 degree

Answer 1

Step-by-step explanation:

180°(n-2) -90°(2n-4)

180°n - 360° - 180°n +360°

=0

Answer 2

Answer:

there is no difference between the two.

they are just two different methods which would yield out to you the same answer.

for example, solve this with both of the methods:

find the number of sides in a polygon if the sum of it's interior angles is 900 degree.

first using (n-2) x 180

(n-2) x 180 =900

n-2 = 900/180

therefore : n-2 = 5

hence:    n = 5+2     which gives 7

so, the polygon is 7 sided, or a Heptagon.

now solve using (2n-4) x 90

(2n - 4) x 90 = 900

180n - 360 = 900

180n = 900+360

180n = 1260

n = 1260/180

therefore: n= 7

hence, by using any of these two methods, you will get the correct answer.

the choice is yours...